What is the Greatest Common Factor of 92144 and 92157?

Greatest common factor (GCF) of 92144 and 92157 is 13.

GCF(92144,92157) = 13

We will now calculate the prime factors of 92144 and 92157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 92144 and 92157.

How to find the GCF of 92144 and 92157?

We will first find the prime factorization of 92144 and 92157. After we will calculate the factors of 92144 and 92157 and find the biggest common factor number .

Step-1: Prime Factorization of 92144

Prime factors of 92144 are 2, 13, 443. Prime factorization of 92144 in exponential form is:

92144 = 2⁴ × 13¹ × 443¹

Step-2: Prime Factorization of 92157

Prime factors of 92157 are 3, 13, 17, 139. Prime factorization of 92157 in exponential form is:

92157 = 3¹ × 13¹ × 17¹ × 139¹

Step-3: Factors of 92144

List of positive integer factors of 92144 that divides 92144 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 443, 886, 1772, 3544, 5759, 7088, 11518, 23036, 46072

Step-4: Factors of 92157

List of positive integer factors of 92157 that divides 92144 without a remainder.

1, 3, 13, 17, 39, 51, 139, 221, 417, 663, 1807, 2363, 5421, 7089, 30719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 92144 and 92157. The biggest common factor number is the GCF number.
So the greatest common factor 92144 and 92157 is 13.

Also check out the Least Common Multiple of 92144 and 92157