What is the Greatest Common Factor of 74944 and 74964?

Greatest common factor (GCF) of 74944 and 74964 is 4.

GCF(74944,74964) = 4

We will now calculate the prime factors of 74944 and 74964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74944 and 74964.

How to find the GCF of 74944 and 74964?

We will first find the prime factorization of 74944 and 74964. After we will calculate the factors of 74944 and 74964 and find the biggest common factor number .

Step-1: Prime Factorization of 74944

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

74944 = 2⁶ × 1171¹

Step-2: Prime Factorization of 74964

Prime factors of 74964 are 2, 3, 6247. Prime factorization of 74964 in exponential form is:

74964 = 2² × 3¹ × 6247¹

Step-3: Factors of 74944

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

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

Step-4: Factors of 74964

List of positive integer factors of 74964 that divides 74944 without a remainder.

1, 2, 3, 4, 6, 12, 6247, 12494, 18741, 24988, 37482

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74944 and 74964. The biggest common factor number is the GCF number.
So the greatest common factor 74944 and 74964 is 4.

Also check out the Least Common Multiple of 74944 and 74964