What is the Greatest Common Factor of 51309 and 51318?

Greatest common factor (GCF) of 51309 and 51318 is 9.

GCF(51309,51318) = 9

We will now calculate the prime factors of 51309 and 51318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51309 and 51318.

How to find the GCF of 51309 and 51318?

We will first find the prime factorization of 51309 and 51318. After we will calculate the factors of 51309 and 51318 and find the biggest common factor number .

Step-1: Prime Factorization of 51309

Prime factors of 51309 are 3, 5701. Prime factorization of 51309 in exponential form is:

51309 = 3² × 5701¹

Step-2: Prime Factorization of 51318

Prime factors of 51318 are 2, 3, 2851. Prime factorization of 51318 in exponential form is:

51318 = 2¹ × 3² × 2851¹

Step-3: Factors of 51309

List of positive integer factors of 51309 that divides 51309 without a remainder.

1, 3, 9, 5701, 17103

Step-4: Factors of 51318

List of positive integer factors of 51318 that divides 51309 without a remainder.

1, 2, 3, 6, 9, 18, 2851, 5702, 8553, 17106, 25659

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51309 and 51318. The biggest common factor number is the GCF number.
So the greatest common factor 51309 and 51318 is 9.

Also check out the Least Common Multiple of 51309 and 51318