What is the Greatest Common Factor of 90944 and 90956?

Greatest common factor (GCF) of 90944 and 90956 is 4.

GCF(90944,90956) = 4

We will now calculate the prime factors of 90944 and 90956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90944 and 90956.

How to find the GCF of 90944 and 90956?

We will first find the prime factorization of 90944 and 90956. After we will calculate the factors of 90944 and 90956 and find the biggest common factor number .

Step-1: Prime Factorization of 90944

Prime factors of 90944 are 2, 7, 29. Prime factorization of 90944 in exponential form is:

90944 = 2⁶ × 7² × 29¹

Step-2: Prime Factorization of 90956

Prime factors of 90956 are 2, 22739. Prime factorization of 90956 in exponential form is:

90956 = 2² × 22739¹

Step-3: Factors of 90944

List of positive integer factors of 90944 that divides 90944 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 29, 32, 49, 56, 58, 64, 98, 112, 116, 196, 203, 224, 232, 392, 406, 448, 464, 784, 812, 928, 1421, 1568, 1624, 1856, 2842, 3136, 3248, 5684, 6496, 11368, 12992, 22736, 45472

Step-4: Factors of 90956

List of positive integer factors of 90956 that divides 90944 without a remainder.

1, 2, 4, 22739, 45478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90944 and 90956. The biggest common factor number is the GCF number.
So the greatest common factor 90944 and 90956 is 4.

Also check out the Least Common Multiple of 90944 and 90956