What is the Greatest Common Factor of 91120 and 91130?

Greatest common factor (GCF) of 91120 and 91130 is 10.

GCF(91120,91130) = 10

We will now calculate the prime factors of 91120 and 91130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91120 and 91130.

How to find the GCF of 91120 and 91130?

We will first find the prime factorization of 91120 and 91130. After we will calculate the factors of 91120 and 91130 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 91130

Prime factors of 91130 are 2, 5, 13, 701. Prime factorization of 91130 in exponential form is:

91130 = 2¹ × 5¹ × 13¹ × 701¹

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 91130

List of positive integer factors of 91130 that divides 91120 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 701, 1402, 3505, 7010, 9113, 18226, 45565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91120 and 91130. The biggest common factor number is the GCF number.
So the greatest common factor 91120 and 91130 is 10.

Also check out the Least Common Multiple of 91120 and 91130