What is the Greatest Common Factor of 91520 and 91536?

Greatest common factor (GCF) of 91520 and 91536 is 16.

GCF(91520,91536) = 16

We will now calculate the prime factors of 91520 and 91536, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91520 and 91536.

How to find the GCF of 91520 and 91536?

We will first find the prime factorization of 91520 and 91536. After we will calculate the factors of 91520 and 91536 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 91536

Prime factors of 91536 are 2, 3, 1907. Prime factorization of 91536 in exponential form is:

91536 = 2⁴ × 3¹ × 1907¹

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 91536

List of positive integer factors of 91536 that divides 91520 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1907, 3814, 5721, 7628, 11442, 15256, 22884, 30512, 45768

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91520 and 91536. The biggest common factor number is the GCF number.
So the greatest common factor 91520 and 91536 is 16.

Also check out the Least Common Multiple of 91520 and 91536