What is the Greatest Common Factor of 72896 and 72915?

Greatest common factor (GCF) of 72896 and 72915 is 1.

GCF(72896,72915) = 1

We will now calculate the prime factors of 72896 and 72915, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72896 and 72915.

How to find the GCF of 72896 and 72915?

We will first find the prime factorization of 72896 and 72915. After we will calculate the factors of 72896 and 72915 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 72915

Prime factors of 72915 are 3, 5, 4861. Prime factorization of 72915 in exponential form is:

72915 = 3¹ × 5¹ × 4861¹

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 72915

List of positive integer factors of 72915 that divides 72896 without a remainder.

1, 3, 5, 15, 4861, 14583, 24305

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72896 and 72915. The biggest common factor number is the GCF number.
So the greatest common factor 72896 and 72915 is 1.

Also check out the Least Common Multiple of 72896 and 72915