What is the Greatest Common Factor of 51495 and 51507?

Greatest common factor (GCF) of 51495 and 51507 is 3.

GCF(51495,51507) = 3

We will now calculate the prime factors of 51495 and 51507, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51495 and 51507.

How to find the GCF of 51495 and 51507?

We will first find the prime factorization of 51495 and 51507. After we will calculate the factors of 51495 and 51507 and find the biggest common factor number .

Step-1: Prime Factorization of 51495

Prime factors of 51495 are 3, 5, 3433. Prime factorization of 51495 in exponential form is:

51495 = 3¹ × 5¹ × 3433¹

Step-2: Prime Factorization of 51507

Prime factors of 51507 are 3, 59, 97. Prime factorization of 51507 in exponential form is:

51507 = 3² × 59¹ × 97¹

Step-3: Factors of 51495

List of positive integer factors of 51495 that divides 51495 without a remainder.

1, 3, 5, 15, 3433, 10299, 17165

Step-4: Factors of 51507

List of positive integer factors of 51507 that divides 51495 without a remainder.

1, 3, 9, 59, 97, 177, 291, 531, 873, 5723, 17169

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51495 and 51507. The biggest common factor number is the GCF number.
So the greatest common factor 51495 and 51507 is 3.

Also check out the Least Common Multiple of 51495 and 51507