What is the Greatest Common Factor of 51505 and 51525?

Greatest common factor (GCF) of 51505 and 51525 is 5.

GCF(51505,51525) = 5

We will now calculate the prime factors of 51505 and 51525, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51505 and 51525.

How to find the GCF of 51505 and 51525?

We will first find the prime factorization of 51505 and 51525. After we will calculate the factors of 51505 and 51525 and find the biggest common factor number .

Step-1: Prime Factorization of 51505

Prime factors of 51505 are 5, 10301. Prime factorization of 51505 in exponential form is:

51505 = 5¹ × 10301¹

Step-2: Prime Factorization of 51525

Prime factors of 51525 are 3, 5, 229. Prime factorization of 51525 in exponential form is:

51525 = 3² × 5² × 229¹

Step-3: Factors of 51505

List of positive integer factors of 51505 that divides 51505 without a remainder.

1, 5, 10301

Step-4: Factors of 51525

List of positive integer factors of 51525 that divides 51505 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 225, 229, 687, 1145, 2061, 3435, 5725, 10305, 17175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51505 and 51525. The biggest common factor number is the GCF number.
So the greatest common factor 51505 and 51525 is 5.

Also check out the Least Common Multiple of 51505 and 51525