What is the Greatest Common Factor of 51123 and 51135?

Greatest common factor (GCF) of 51123 and 51135 is 3.

GCF(51123,51135) = 3

We will now calculate the prime factors of 51123 and 51135, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51123 and 51135.

How to find the GCF of 51123 and 51135?

We will first find the prime factorization of 51123 and 51135. After we will calculate the factors of 51123 and 51135 and find the biggest common factor number .

Step-1: Prime Factorization of 51123

Prime factors of 51123 are 3, 17041. Prime factorization of 51123 in exponential form is:

51123 = 3¹ × 17041¹

Step-2: Prime Factorization of 51135

Prime factors of 51135 are 3, 5, 7, 487. Prime factorization of 51135 in exponential form is:

51135 = 3¹ × 5¹ × 7¹ × 487¹

Step-3: Factors of 51123

List of positive integer factors of 51123 that divides 51123 without a remainder.

1, 3, 17041

Step-4: Factors of 51135

List of positive integer factors of 51135 that divides 51123 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 487, 1461, 2435, 3409, 7305, 10227, 17045

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51123 and 51135. The biggest common factor number is the GCF number.
So the greatest common factor 51123 and 51135 is 3.

Also check out the Least Common Multiple of 51123 and 51135