What is the Greatest Common Factor of 51615 and 51633?

Greatest common factor (GCF) of 51615 and 51633 is 9.

GCF(51615,51633) = 9

We will now calculate the prime factors of 51615 and 51633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51615 and 51633.

How to find the GCF of 51615 and 51633?

We will first find the prime factorization of 51615 and 51633. After we will calculate the factors of 51615 and 51633 and find the biggest common factor number .

Step-1: Prime Factorization of 51615

Prime factors of 51615 are 3, 5, 31, 37. Prime factorization of 51615 in exponential form is:

51615 = 3² × 5¹ × 31¹ × 37¹

Step-2: Prime Factorization of 51633

Prime factors of 51633 are 3, 5737. Prime factorization of 51633 in exponential form is:

51633 = 3² × 5737¹

Step-3: Factors of 51615

List of positive integer factors of 51615 that divides 51615 without a remainder.

1, 3, 5, 9, 15, 31, 37, 45, 93, 111, 155, 185, 279, 333, 465, 555, 1147, 1395, 1665, 3441, 5735, 10323, 17205

Step-4: Factors of 51633

List of positive integer factors of 51633 that divides 51615 without a remainder.

1, 3, 9, 5737, 17211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51615 and 51633. The biggest common factor number is the GCF number.
So the greatest common factor 51615 and 51633 is 9.

Also check out the Least Common Multiple of 51615 and 51633