What is the Greatest Common Factor of 91910 and 91924?

Greatest common factor (GCF) of 91910 and 91924 is 14.

GCF(91910,91924) = 14

We will now calculate the prime factors of 91910 and 91924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 91910 and 91924.

How to find the GCF of 91910 and 91924?

We will first find the prime factorization of 91910 and 91924. After we will calculate the factors of 91910 and 91924 and find the biggest common factor number .

Step-1: Prime Factorization of 91910

Prime factors of 91910 are 2, 5, 7, 13, 101. Prime factorization of 91910 in exponential form is:

91910 = 2¹ × 5¹ × 7¹ × 13¹ × 101¹

Step-2: Prime Factorization of 91924

Prime factors of 91924 are 2, 7, 67. Prime factorization of 91924 in exponential form is:

91924 = 2² × 7³ × 67¹

Step-3: Factors of 91910

List of positive integer factors of 91910 that divides 91910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 101, 130, 182, 202, 455, 505, 707, 910, 1010, 1313, 1414, 2626, 3535, 6565, 7070, 9191, 13130, 18382, 45955

Step-4: Factors of 91924

List of positive integer factors of 91924 that divides 91910 without a remainder.

1, 2, 4, 7, 14, 28, 49, 67, 98, 134, 196, 268, 343, 469, 686, 938, 1372, 1876, 3283, 6566, 13132, 22981, 45962

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 91910 and 91924. The biggest common factor number is the GCF number.
So the greatest common factor 91910 and 91924 is 14.

Also check out the Least Common Multiple of 91910 and 91924