What is the Greatest Common Factor of 52129 and 52144?

Greatest common factor (GCF) of 52129 and 52144 is 1.

GCF(52129,52144) = 1

We will now calculate the prime factors of 52129 and 52144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52129 and 52144.

How to find the GCF of 52129 and 52144?

We will first find the prime factorization of 52129 and 52144. After we will calculate the factors of 52129 and 52144 and find the biggest common factor number .

Step-1: Prime Factorization of 52129

Prime factors of 52129 are 7, 11, 677. Prime factorization of 52129 in exponential form is:

52129 = 7¹ × 11¹ × 677¹

Step-2: Prime Factorization of 52144

Prime factors of 52144 are 2, 3259. Prime factorization of 52144 in exponential form is:

52144 = 2⁴ × 3259¹

Step-3: Factors of 52129

List of positive integer factors of 52129 that divides 52129 without a remainder.

1, 7, 11, 77, 677, 4739, 7447

Step-4: Factors of 52144

List of positive integer factors of 52144 that divides 52129 without a remainder.

1, 2, 4, 8, 16, 3259, 6518, 13036, 26072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52129 and 52144. The biggest common factor number is the GCF number.
So the greatest common factor 52129 and 52144 is 1.

Also check out the Least Common Multiple of 52129 and 52144