What is the Greatest Common Factor of 89376 and 89391?

Greatest common factor (GCF) of 89376 and 89391 is 3.

GCF(89376,89391) = 3

We will now calculate the prime factors of 89376 and 89391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89376 and 89391.

How to find the GCF of 89376 and 89391?

We will first find the prime factorization of 89376 and 89391. After we will calculate the factors of 89376 and 89391 and find the biggest common factor number .

Step-1: Prime Factorization of 89376

Prime factors of 89376 are 2, 3, 7, 19. Prime factorization of 89376 in exponential form is:

89376 = 2⁵ × 3¹ × 7² × 19¹

Step-2: Prime Factorization of 89391

Prime factors of 89391 are 3, 83, 359. Prime factorization of 89391 in exponential form is:

89391 = 3¹ × 83¹ × 359¹

Step-3: Factors of 89376

List of positive integer factors of 89376 that divides 89376 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 19, 21, 24, 28, 32, 38, 42, 48, 49, 56, 57, 76, 84, 96, 98, 112, 114, 133, 147, 152, 168, 196, 224, 228, 266, 294, 304, 336, 392, 399, 456, 532, 588, 608, 672, 784, 798, 912, 931, 1064, 1176, 1568, 1596, 1824, 1862, 2128, 2352, 2793, 3192, 3724, 4256, 4704, 5586, 6384, 7448, 11172, 12768, 14896, 22344, 29792, 44688

Step-4: Factors of 89391

List of positive integer factors of 89391 that divides 89376 without a remainder.

1, 3, 83, 249, 359, 1077, 29797

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89376 and 89391. The biggest common factor number is the GCF number.
So the greatest common factor 89376 and 89391 is 3.

Also check out the Least Common Multiple of 89376 and 89391