What is the Greatest Common Factor of 72928 and 72948?

Greatest common factor (GCF) of 72928 and 72948 is 4.

GCF(72928,72948) = 4

We will now calculate the prime factors of 72928 and 72948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72928 and 72948.

How to find the GCF of 72928 and 72948?

We will first find the prime factorization of 72928 and 72948. After we will calculate the factors of 72928 and 72948 and find the biggest common factor number .

Step-1: Prime Factorization of 72928

Prime factors of 72928 are 2, 43, 53. Prime factorization of 72928 in exponential form is:

72928 = 2⁵ × 43¹ × 53¹

Step-2: Prime Factorization of 72948

Prime factors of 72948 are 2, 3, 6079. Prime factorization of 72948 in exponential form is:

72948 = 2² × 3¹ × 6079¹

Step-3: Factors of 72928

List of positive integer factors of 72928 that divides 72928 without a remainder.

1, 2, 4, 8, 16, 32, 43, 53, 86, 106, 172, 212, 344, 424, 688, 848, 1376, 1696, 2279, 4558, 9116, 18232, 36464

Step-4: Factors of 72948

List of positive integer factors of 72948 that divides 72928 without a remainder.

1, 2, 3, 4, 6, 12, 6079, 12158, 18237, 24316, 36474

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72928 and 72948. The biggest common factor number is the GCF number.
So the greatest common factor 72928 and 72948 is 4.

Also check out the Least Common Multiple of 72928 and 72948