What is the Greatest Common Factor of 92911 and 92924?

Greatest common factor (GCF) of 92911 and 92924 is 13.

GCF(92911,92924) = 13

We will now calculate the prime factors of 92911 and 92924, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92911 and 92924.

How to find the GCF of 92911 and 92924?

We will first find the prime factorization of 92911 and 92924. After we will calculate the factors of 92911 and 92924 and find the biggest common factor number .

Step-1: Prime Factorization of 92911

Prime factors of 92911 are 7, 13, 1021. Prime factorization of 92911 in exponential form is:

92911 = 7¹ × 13¹ × 1021¹

Step-2: Prime Factorization of 92924

Prime factors of 92924 are 2, 13, 1787. Prime factorization of 92924 in exponential form is:

92924 = 2² × 13¹ × 1787¹

Step-3: Factors of 92911

List of positive integer factors of 92911 that divides 92911 without a remainder.

1, 7, 13, 91, 1021, 7147, 13273

Step-4: Factors of 92924

List of positive integer factors of 92924 that divides 92911 without a remainder.

1, 2, 4, 13, 26, 52, 1787, 3574, 7148, 23231, 46462

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92911 and 92924. The biggest common factor number is the GCF number.
So the greatest common factor 92911 and 92924 is 13.

Also check out the Least Common Multiple of 92911 and 92924