What is the Greatest Common Factor of 92118 and 92131?

Greatest common factor (GCF) of 92118 and 92131 is 13.

GCF(92118,92131) = 13

We will now calculate the prime factors of 92118 and 92131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92118 and 92131.

How to find the GCF of 92118 and 92131?

We will first find the prime factorization of 92118 and 92131. After we will calculate the factors of 92118 and 92131 and find the biggest common factor number .

Step-1: Prime Factorization of 92118

Prime factors of 92118 are 2, 3, 13, 1181. Prime factorization of 92118 in exponential form is:

92118 = 2¹ × 3¹ × 13¹ × 1181¹

Step-2: Prime Factorization of 92131

Prime factors of 92131 are 13, 19, 373. Prime factorization of 92131 in exponential form is:

92131 = 13¹ × 19¹ × 373¹

Step-3: Factors of 92118

List of positive integer factors of 92118 that divides 92118 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 1181, 2362, 3543, 7086, 15353, 30706, 46059

Step-4: Factors of 92131

List of positive integer factors of 92131 that divides 92118 without a remainder.

1, 13, 19, 247, 373, 4849, 7087

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92118 and 92131. The biggest common factor number is the GCF number.
So the greatest common factor 92118 and 92131 is 13.

Also check out the Least Common Multiple of 92118 and 92131