What is the Greatest Common Factor of 91509 and 91520?

Greatest common factor (GCF) of 91509 and 91520 is 11.

GCF(91509,91520) = 11

We will now calculate the prime factors of 91509 and 91520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91509 and 91520.

How to find the GCF of 91509 and 91520?

We will first find the prime factorization of 91509 and 91520. After we will calculate the factors of 91509 and 91520 and find the biggest common factor number .

Step-1: Prime Factorization of 91509

Prime factors of 91509 are 3, 11, 47, 59. Prime factorization of 91509 in exponential form is:

91509 = 3¹ × 11¹ × 47¹ × 59¹

Step-2: 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-3: Factors of 91509

List of positive integer factors of 91509 that divides 91509 without a remainder.

1, 3, 11, 33, 47, 59, 141, 177, 517, 649, 1551, 1947, 2773, 8319, 30503

Step-4: Factors of 91520

List of positive integer factors of 91520 that divides 91509 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91509 and 91520. The biggest common factor number is the GCF number.
So the greatest common factor 91509 and 91520 is 11.

Also check out the Least Common Multiple of 91509 and 91520