What is the Greatest Common Factor of 89359 and 89376?

Greatest common factor (GCF) of 89359 and 89376 is 1.

GCF(89359,89376) = 1

We will now calculate the prime factors of 89359 and 89376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89359 and 89376.

How to find the GCF of 89359 and 89376?

We will first find the prime factorization of 89359 and 89376. After we will calculate the factors of 89359 and 89376 and find the biggest common factor number .

Step-1: Prime Factorization of 89359

Prime factors of 89359 are 193, 463. Prime factorization of 89359 in exponential form is:

89359 = 193¹ × 463¹

Step-2: 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-3: Factors of 89359

List of positive integer factors of 89359 that divides 89359 without a remainder.

1, 193, 463

Step-4: Factors of 89376

List of positive integer factors of 89376 that divides 89359 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89359 and 89376. The biggest common factor number is the GCF number.
So the greatest common factor 89359 and 89376 is 1.

Also check out the Least Common Multiple of 89359 and 89376