What is the Greatest Common Factor of 51025 and 51039?

Greatest common factor (GCF) of 51025 and 51039 is 1.

GCF(51025,51039) = 1

We will now calculate the prime factors of 51025 and 51039, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51025 and 51039.

How to find the GCF of 51025 and 51039?

We will first find the prime factorization of 51025 and 51039. After we will calculate the factors of 51025 and 51039 and find the biggest common factor number .

Step-1: Prime Factorization of 51025

Prime factors of 51025 are 5, 13, 157. Prime factorization of 51025 in exponential form is:

51025 = 5² × 13¹ × 157¹

Step-2: Prime Factorization of 51039

Prime factors of 51039 are 3, 53, 107. Prime factorization of 51039 in exponential form is:

51039 = 3² × 53¹ × 107¹

Step-3: Factors of 51025

List of positive integer factors of 51025 that divides 51025 without a remainder.

1, 5, 13, 25, 65, 157, 325, 785, 2041, 3925, 10205

Step-4: Factors of 51039

List of positive integer factors of 51039 that divides 51025 without a remainder.

1, 3, 9, 53, 107, 159, 321, 477, 963, 5671, 17013

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51025 and 51039. The biggest common factor number is the GCF number.
So the greatest common factor 51025 and 51039 is 1.

Also check out the Least Common Multiple of 51025 and 51039