What is the Greatest Common Factor of 52438 and 52457?

Greatest common factor (GCF) of 52438 and 52457 is 1.

GCF(52438,52457) = 1

We will now calculate the prime factors of 52438 and 52457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52438 and 52457.

How to find the GCF of 52438 and 52457?

We will first find the prime factorization of 52438 and 52457. After we will calculate the factors of 52438 and 52457 and find the biggest common factor number .

Step-1: Prime Factorization of 52438

Prime factors of 52438 are 2, 157, 167. Prime factorization of 52438 in exponential form is:

52438 = 2¹ × 157¹ × 167¹

Step-2: Prime Factorization of 52457

Prime factors of 52457 are 52457. Prime factorization of 52457 in exponential form is:

52457 = 52457¹

Step-3: Factors of 52438

List of positive integer factors of 52438 that divides 52438 without a remainder.

1, 2, 157, 167, 314, 334, 26219

Step-4: Factors of 52457

List of positive integer factors of 52457 that divides 52438 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52438 and 52457. The biggest common factor number is the GCF number.
So the greatest common factor 52438 and 52457 is 1.

Also check out the Least Common Multiple of 52438 and 52457