What is the Greatest Common Factor of 72944 and 72956?

Greatest common factor (GCF) of 72944 and 72956 is 4.

GCF(72944,72956) = 4

We will now calculate the prime factors of 72944 and 72956, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72944 and 72956.

How to find the GCF of 72944 and 72956?

We will first find the prime factorization of 72944 and 72956. After we will calculate the factors of 72944 and 72956 and find the biggest common factor number .

Step-1: Prime Factorization of 72944

Prime factors of 72944 are 2, 47, 97. Prime factorization of 72944 in exponential form is:

72944 = 2⁴ × 47¹ × 97¹

Step-2: Prime Factorization of 72956

Prime factors of 72956 are 2, 13, 23, 61. Prime factorization of 72956 in exponential form is:

72956 = 2² × 13¹ × 23¹ × 61¹

Step-3: Factors of 72944

List of positive integer factors of 72944 that divides 72944 without a remainder.

1, 2, 4, 8, 16, 47, 94, 97, 188, 194, 376, 388, 752, 776, 1552, 4559, 9118, 18236, 36472

Step-4: Factors of 72956

List of positive integer factors of 72956 that divides 72944 without a remainder.

1, 2, 4, 13, 23, 26, 46, 52, 61, 92, 122, 244, 299, 598, 793, 1196, 1403, 1586, 2806, 3172, 5612, 18239, 36478

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72944 and 72956. The biggest common factor number is the GCF number.
So the greatest common factor 72944 and 72956 is 4.

Also check out the Least Common Multiple of 72944 and 72956