What is the Greatest Common Factor of 90937 and 90944?

Greatest common factor (GCF) of 90937 and 90944 is 7.

GCF(90937,90944) = 7

We will now calculate the prime factors of 90937 and 90944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 90937 and 90944.

How to find the GCF of 90937 and 90944?

We will first find the prime factorization of 90937 and 90944. After we will calculate the factors of 90937 and 90944 and find the biggest common factor number .

Step-1: Prime Factorization of 90937

Prime factors of 90937 are 7, 11, 1181. Prime factorization of 90937 in exponential form is:

90937 = 7¹ × 11¹ × 1181¹

Step-2: 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-3: Factors of 90937

List of positive integer factors of 90937 that divides 90937 without a remainder.

1, 7, 11, 77, 1181, 8267, 12991

Step-4: Factors of 90944

List of positive integer factors of 90944 that divides 90937 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 90937 and 90944. The biggest common factor number is the GCF number.
So the greatest common factor 90937 and 90944 is 7.

Also check out the Least Common Multiple of 90937 and 90944