What is the Greatest Common Factor of 92911 and 92925?

Greatest common factor (GCF) of 92911 and 92925 is 7.

GCF(92911,92925) = 7

We will now calculate the prime factors of 92911 and 92925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92911 and 92925.

How to find the GCF of 92911 and 92925?

We will first find the prime factorization of 92911 and 92925. After we will calculate the factors of 92911 and 92925 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 92925

Prime factors of 92925 are 3, 5, 7, 59. Prime factorization of 92925 in exponential form is:

92925 = 3² × 5² × 7¹ × 59¹

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 92925

List of positive integer factors of 92925 that divides 92911 without a remainder.

1, 3, 5, 7, 9, 15, 21, 25, 35, 45, 59, 63, 75, 105, 175, 177, 225, 295, 315, 413, 525, 531, 885, 1239, 1475, 1575, 2065, 2655, 3717, 4425, 6195, 10325, 13275, 18585, 30975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92911 and 92925. The biggest common factor number is the GCF number.
So the greatest common factor 92911 and 92925 is 7.

Also check out the Least Common Multiple of 92911 and 92925