What is the Greatest Common Factor of 89376 and 89390?

Greatest common factor (GCF) of 89376 and 89390 is 14.

GCF(89376,89390) = 14

We will now calculate the prime factors of 89376 and 89390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89376 and 89390.

How to find the GCF of 89376 and 89390?

We will first find the prime factorization of 89376 and 89390. After we will calculate the factors of 89376 and 89390 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 89390

Prime factors of 89390 are 2, 5, 7, 1277. Prime factorization of 89390 in exponential form is:

89390 = 2¹ × 5¹ × 7¹ × 1277¹

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 89390

List of positive integer factors of 89390 that divides 89376 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 1277, 2554, 6385, 8939, 12770, 17878, 44695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 89376 and 89390. The biggest common factor number is the GCF number.
So the greatest common factor 89376 and 89390 is 14.

Also check out the Least Common Multiple of 89376 and 89390