What is the Greatest Common Factor of 91500 and 91520?

Greatest common factor (GCF) of 91500 and 91520 is 20.

GCF(91500,91520) = 20

We will now calculate the prime factors of 91500 and 91520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91500 and 91520.

How to find the GCF of 91500 and 91520?

We will first find the prime factorization of 91500 and 91520. After we will calculate the factors of 91500 and 91520 and find the biggest common factor number .

Step-1: Prime Factorization of 91500

Prime factors of 91500 are 2, 3, 5, 61. Prime factorization of 91500 in exponential form is:

91500 = 2² × 3¹ × 5³ × 61¹

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 91500

List of positive integer factors of 91500 that divides 91500 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 61, 75, 100, 122, 125, 150, 183, 244, 250, 300, 305, 366, 375, 500, 610, 732, 750, 915, 1220, 1500, 1525, 1830, 3050, 3660, 4575, 6100, 7625, 9150, 15250, 18300, 22875, 30500, 45750

Step-4: Factors of 91520

List of positive integer factors of 91520 that divides 91500 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 91500 and 91520. The biggest common factor number is the GCF number.
So the greatest common factor 91500 and 91520 is 20.

Also check out the Least Common Multiple of 91500 and 91520