What is the Greatest Common Factor of 72896 and 72916?

Greatest common factor (GCF) of 72896 and 72916 is 4.

GCF(72896,72916) = 4

We will now calculate the prime factors of 72896 and 72916, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72896 and 72916.

How to find the GCF of 72896 and 72916?

We will first find the prime factorization of 72896 and 72916. After we will calculate the factors of 72896 and 72916 and find the biggest common factor number .

Step-1: Prime Factorization of 72896

Prime factors of 72896 are 2, 17, 67. Prime factorization of 72896 in exponential form is:

72896 = 2⁶ × 17¹ × 67¹

Step-2: Prime Factorization of 72916

Prime factors of 72916 are 2, 18229. Prime factorization of 72916 in exponential form is:

72916 = 2² × 18229¹

Step-3: Factors of 72896

List of positive integer factors of 72896 that divides 72896 without a remainder.

1, 2, 4, 8, 16, 17, 32, 34, 64, 67, 68, 134, 136, 268, 272, 536, 544, 1072, 1088, 1139, 2144, 2278, 4288, 4556, 9112, 18224, 36448

Step-4: Factors of 72916

List of positive integer factors of 72916 that divides 72896 without a remainder.

1, 2, 4, 18229, 36458

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72896 and 72916. The biggest common factor number is the GCF number.
So the greatest common factor 72896 and 72916 is 4.

Also check out the Least Common Multiple of 72896 and 72916