What is the Greatest Common Factor of 52138 and 52157?

Greatest common factor (GCF) of 52138 and 52157 is 1.

GCF(52138,52157) = 1

We will now calculate the prime factors of 52138 and 52157, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52138 and 52157.

How to find the GCF of 52138 and 52157?

We will first find the prime factorization of 52138 and 52157. After we will calculate the factors of 52138 and 52157 and find the biggest common factor number .

Step-1: Prime Factorization of 52138

Prime factors of 52138 are 2, 131, 199. Prime factorization of 52138 in exponential form is:

52138 = 2¹ × 131¹ × 199¹

Step-2: Prime Factorization of 52157

Prime factors of 52157 are 7, 7451. Prime factorization of 52157 in exponential form is:

52157 = 7¹ × 7451¹

Step-3: Factors of 52138

List of positive integer factors of 52138 that divides 52138 without a remainder.

1, 2, 131, 199, 262, 398, 26069

Step-4: Factors of 52157

List of positive integer factors of 52157 that divides 52138 without a remainder.

1, 7, 7451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52138 and 52157. The biggest common factor number is the GCF number.
So the greatest common factor 52138 and 52157 is 1.

Also check out the Least Common Multiple of 52138 and 52157