What is the Greatest Common Factor of 72879 and 72896?

Greatest common factor (GCF) of 72879 and 72896 is 17.

GCF(72879,72896) = 17

We will now calculate the prime factors of 72879 and 72896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72879 and 72896.

How to find the GCF of 72879 and 72896?

We will first find the prime factorization of 72879 and 72896. After we will calculate the factors of 72879 and 72896 and find the biggest common factor number .

Step-1: Prime Factorization of 72879

Prime factors of 72879 are 3, 17, 1429. Prime factorization of 72879 in exponential form is:

72879 = 3¹ × 17¹ × 1429¹

Step-2: 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-3: Factors of 72879

List of positive integer factors of 72879 that divides 72879 without a remainder.

1, 3, 17, 51, 1429, 4287, 24293

Step-4: Factors of 72896

List of positive integer factors of 72896 that divides 72879 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72879 and 72896. The biggest common factor number is the GCF number.
So the greatest common factor 72879 and 72896 is 17.

Also check out the Least Common Multiple of 72879 and 72896