What is the Greatest Common Factor of 72896 and 72908?

Greatest common factor (GCF) of 72896 and 72908 is 4.

GCF(72896,72908) = 4

We will now calculate the prime factors of 72896 and 72908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72896 and 72908.

How to find the GCF of 72896 and 72908?

We will first find the prime factorization of 72896 and 72908. After we will calculate the factors of 72896 and 72908 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 72908

Prime factors of 72908 are 2, 11, 1657. Prime factorization of 72908 in exponential form is:

72908 = 2² × 11¹ × 1657¹

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 72908

List of positive integer factors of 72908 that divides 72896 without a remainder.

1, 2, 4, 11, 22, 44, 1657, 3314, 6628, 18227, 36454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72896 and 72908. The biggest common factor number is the GCF number.
So the greatest common factor 72896 and 72908 is 4.

Also check out the Least Common Multiple of 72896 and 72908