What is the Greatest Common Factor of 74928 and 74944?

Greatest common factor (GCF) of 74928 and 74944 is 16.

GCF(74928,74944) = 16

We will now calculate the prime factors of 74928 and 74944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74928 and 74944.

How to find the GCF of 74928 and 74944?

We will first find the prime factorization of 74928 and 74944. After we will calculate the factors of 74928 and 74944 and find the biggest common factor number .

Step-1: Prime Factorization of 74928

Prime factors of 74928 are 2, 3, 7, 223. Prime factorization of 74928 in exponential form is:

74928 = 2⁴ × 3¹ × 7¹ × 223¹

Step-2: Prime Factorization of 74944

Prime factors of 74944 are 2, 1171. Prime factorization of 74944 in exponential form is:

74944 = 2⁶ × 1171¹

Step-3: Factors of 74928

List of positive integer factors of 74928 that divides 74928 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 223, 336, 446, 669, 892, 1338, 1561, 1784, 2676, 3122, 3568, 4683, 5352, 6244, 9366, 10704, 12488, 18732, 24976, 37464

Step-4: Factors of 74944

List of positive integer factors of 74944 that divides 74928 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1171, 2342, 4684, 9368, 18736, 37472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74928 and 74944. The biggest common factor number is the GCF number.
So the greatest common factor 74928 and 74944 is 16.

Also check out the Least Common Multiple of 74928 and 74944