What is the Greatest Common Factor of 89362 and 89376?

Greatest common factor (GCF) of 89362 and 89376 is 14.

GCF(89362,89376) = 14

We will now calculate the prime factors of 89362 and 89376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 89362 and 89376.

How to find the GCF of 89362 and 89376?

We will first find the prime factorization of 89362 and 89376. After we will calculate the factors of 89362 and 89376 and find the biggest common factor number .

Step-1: Prime Factorization of 89362

Prime factors of 89362 are 2, 7, 13, 491. Prime factorization of 89362 in exponential form is:

89362 = 2¹ × 7¹ × 13¹ × 491¹

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 89362

List of positive integer factors of 89362 that divides 89362 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 491, 982, 3437, 6383, 6874, 12766, 44681

Step-4: Factors of 89376

List of positive integer factors of 89376 that divides 89362 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 89362 and 89376. The biggest common factor number is the GCF number.
So the greatest common factor 89362 and 89376 is 14.

Also check out the Least Common Multiple of 89362 and 89376