What is the Greatest Common Factor of 74656 and 74676?

Greatest common factor (GCF) of 74656 and 74676 is 4.

GCF(74656,74676) = 4

We will now calculate the prime factors of 74656 and 74676, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74656 and 74676.

How to find the GCF of 74656 and 74676?

We will first find the prime factorization of 74656 and 74676. After we will calculate the factors of 74656 and 74676 and find the biggest common factor number .

Step-1: Prime Factorization of 74656

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

74656 = 2⁵ × 2333¹

Step-2: Prime Factorization of 74676

Prime factors of 74676 are 2, 3, 7, 127. Prime factorization of 74676 in exponential form is:

74676 = 2² × 3¹ × 7² × 127¹

Step-3: Factors of 74656

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

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

Step-4: Factors of 74676

List of positive integer factors of 74676 that divides 74656 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 127, 147, 196, 254, 294, 381, 508, 588, 762, 889, 1524, 1778, 2667, 3556, 5334, 6223, 10668, 12446, 18669, 24892, 37338

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74656 and 74676. The biggest common factor number is the GCF number.
So the greatest common factor 74656 and 74676 is 4.

Also check out the Least Common Multiple of 74656 and 74676