What is the Greatest Common Factor of 74638 and 74656?

Greatest common factor (GCF) of 74638 and 74656 is 2.

GCF(74638,74656) = 2

We will now calculate the prime factors of 74638 and 74656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74638 and 74656.

How to find the GCF of 74638 and 74656?

We will first find the prime factorization of 74638 and 74656. After we will calculate the factors of 74638 and 74656 and find the biggest common factor number .

Step-1: Prime Factorization of 74638

Prime factors of 74638 are 2, 67, 557. Prime factorization of 74638 in exponential form is:

74638 = 2¹ × 67¹ × 557¹

Step-2: Prime Factorization of 74656

Prime factors of 74656 are 2, 2333. Prime factorization of 74656 in exponential form is:

74656 = 2⁵ × 2333¹

Step-3: Factors of 74638

List of positive integer factors of 74638 that divides 74638 without a remainder.

1, 2, 67, 134, 557, 1114, 37319

Step-4: Factors of 74656

List of positive integer factors of 74656 that divides 74638 without a remainder.

1, 2, 4, 8, 16, 32, 2333, 4666, 9332, 18664, 37328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74638 and 74656. The biggest common factor number is the GCF number.
So the greatest common factor 74638 and 74656 is 2.

Also check out the Least Common Multiple of 74638 and 74656