What is the Greatest Common Factor of 51006 and 51025?

Greatest common factor (GCF) of 51006 and 51025 is 1.

GCF(51006,51025) = 1

We will now calculate the prime factors of 51006 and 51025, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51006 and 51025.

How to find the GCF of 51006 and 51025?

We will first find the prime factorization of 51006 and 51025. After we will calculate the factors of 51006 and 51025 and find the biggest common factor number .

Step-1: Prime Factorization of 51006

Prime factors of 51006 are 2, 3, 8501. Prime factorization of 51006 in exponential form is:

51006 = 2¹ × 3¹ × 8501¹

Step-2: 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-3: Factors of 51006

List of positive integer factors of 51006 that divides 51006 without a remainder.

1, 2, 3, 6, 8501, 17002, 25503

Step-4: Factors of 51025

List of positive integer factors of 51025 that divides 51006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51006 and 51025. The biggest common factor number is the GCF number.
So the greatest common factor 51006 and 51025 is 1.

Also check out the Least Common Multiple of 51006 and 51025