What is the Greatest Common Factor of 51025 and 51035?

Greatest common factor (GCF) of 51025 and 51035 is 5.

GCF(51025,51035) = 5

We will now calculate the prime factors of 51025 and 51035, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51025 and 51035.

How to find the GCF of 51025 and 51035?

We will first find the prime factorization of 51025 and 51035. After we will calculate the factors of 51025 and 51035 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 51035

Prime factors of 51035 are 5, 59, 173. Prime factorization of 51035 in exponential form is:

51035 = 5¹ × 59¹ × 173¹

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 51035

List of positive integer factors of 51035 that divides 51025 without a remainder.

1, 5, 59, 173, 295, 865, 10207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51025 and 51035. The biggest common factor number is the GCF number.
So the greatest common factor 51025 and 51035 is 5.

Also check out the Least Common Multiple of 51025 and 51035