What is the Greatest Common Factor of 74944 and 74956?

Greatest common factor (GCF) of 74944 and 74956 is 4.

GCF(74944,74956) = 4

We will now calculate the prime factors of 74944 and 74956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74944 and 74956.

How to find the GCF of 74944 and 74956?

We will first find the prime factorization of 74944 and 74956. After we will calculate the factors of 74944 and 74956 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 74956

Prime factors of 74956 are 2, 7, 2677. Prime factorization of 74956 in exponential form is:

74956 = 2² × 7¹ × 2677¹

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 74956

List of positive integer factors of 74956 that divides 74944 without a remainder.

1, 2, 4, 7, 14, 28, 2677, 5354, 10708, 18739, 37478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74944 and 74956. The biggest common factor number is the GCF number.
So the greatest common factor 74944 and 74956 is 4.

Also check out the Least Common Multiple of 74944 and 74956