What is the Greatest Common Factor of 91120 and 91136?

Greatest common factor (GCF) of 91120 and 91136 is 16.

GCF(91120,91136) = 16

We will now calculate the prime factors of 91120 and 91136, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91120 and 91136.

How to find the GCF of 91120 and 91136?

We will first find the prime factorization of 91120 and 91136. After we will calculate the factors of 91120 and 91136 and find the biggest common factor number .

Step-1: Prime Factorization of 91120

Prime factors of 91120 are 2, 5, 17, 67. Prime factorization of 91120 in exponential form is:

91120 = 2⁴ × 5¹ × 17¹ × 67¹

Step-2: Prime Factorization of 91136

Prime factors of 91136 are 2, 89. Prime factorization of 91136 in exponential form is:

91136 = 2¹⁰ × 89¹

Step-3: Factors of 91120

List of positive integer factors of 91120 that divides 91120 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 67, 68, 80, 85, 134, 136, 170, 268, 272, 335, 340, 536, 670, 680, 1072, 1139, 1340, 1360, 2278, 2680, 4556, 5360, 5695, 9112, 11390, 18224, 22780, 45560

Step-4: Factors of 91136

List of positive integer factors of 91136 that divides 91120 without a remainder.

1, 2, 4, 8, 16, 32, 64, 89, 128, 178, 256, 356, 512, 712, 1024, 1424, 2848, 5696, 11392, 22784, 45568

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91120 and 91136. The biggest common factor number is the GCF number.
So the greatest common factor 91120 and 91136 is 16.

Also check out the Least Common Multiple of 91120 and 91136