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In this lesson, we will learn how to find the GCF of two numbers, specifically the GCF of 60 and 96. We will explore different methods to find the GCF and discuss the step-by-step processes involved. Method 1: Prime Factorization
There are 6 common factors of 60 and 96, that are 1, 2, 3, 4, 6, and 12. Therefore, the greatest common factor of 60 and 96 is 12. GCF of 60 and 96 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly. Step 1: Divide 96 (larger number) by 60 (smaller number).
All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. All factors of 96: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. So the Greatest Common Factor for 60 and 96 is 12. The second method to find GCF for numbers 60 and 96 is to list all Prime Factors for both numbers and multiply the common ones: All Prime Factors of 60: 2, 2, 3, 5.
1 Use the prime factorization method to find the GCF of 60 and 96 2 Factorize 60 into its prime factors: 60 = 2 2 × 3 1 × 5 1 60 = 2^2 \times 3^1 \times 5^1 60 = 2 2 × 3 1 × 5 1 3 Factorize 96 into its prime factors: 96 = 2 5 × 3 1 96 = 2^5 \times 3^1 96 = 2 5 × 3 1
What is the GCF of 60 and 96? The answer is 12. Get the stepwise instructions to find GCF of 60 and 96 using prime factorization method.
What is the GCF of 60 and 96? The first step to find the gcf of 60 and 96 is to list the factors of each number. The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30 and 60.
The factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, and 60. The second step is to determine which are the common divisors. It is not difficult to see that the 'Greatest Common Factor' or 'Divisor' for 96 and 60 is 12.
