What is the Greatest Common Factor of 91520 and 91531?

Greatest common factor (GCF) of 91520 and 91531 is 11.

GCF(91520,91531) = 11

We will now calculate the prime factors of 91520 and 91531, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91520 and 91531.

How to find the GCF of 91520 and 91531?

We will first find the prime factorization of 91520 and 91531. After we will calculate the factors of 91520 and 91531 and find the biggest common factor number .

Step-1: Prime Factorization of 91520

Prime factors of 91520 are 2, 5, 11, 13. Prime factorization of 91520 in exponential form is:

91520 = 2⁷ × 5¹ × 11¹ × 13¹

Step-2: Prime Factorization of 91531

Prime factors of 91531 are 11, 53, 157. Prime factorization of 91531 in exponential form is:

91531 = 11¹ × 53¹ × 157¹

Step-3: Factors of 91520

List of positive integer factors of 91520 that divides 91520 without a remainder.

1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 32, 40, 44, 52, 55, 64, 65, 80, 88, 104, 110, 128, 130, 143, 160, 176, 208, 220, 260, 286, 320, 352, 416, 440, 520, 572, 640, 704, 715, 832, 880, 1040, 1144, 1408, 1430, 1664, 1760, 2080, 2288, 2860, 3520, 4160, 4576, 5720, 7040, 8320, 9152, 11440, 18304, 22880, 45760

Step-4: Factors of 91531

List of positive integer factors of 91531 that divides 91520 without a remainder.

1, 11, 53, 157, 583, 1727, 8321

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91520 and 91531. The biggest common factor number is the GCF number.
So the greatest common factor 91520 and 91531 is 11.

Also check out the Least Common Multiple of 91520 and 91531