What is the Greatest Common Factor of 51138 and 51144?

Greatest common factor (GCF) of 51138 and 51144 is 6.

GCF(51138,51144) = 6

We will now calculate the prime factors of 51138 and 51144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51138 and 51144.

How to find the GCF of 51138 and 51144?

We will first find the prime factorization of 51138 and 51144. After we will calculate the factors of 51138 and 51144 and find the biggest common factor number .

Step-1: Prime Factorization of 51138

Prime factors of 51138 are 2, 3, 947. Prime factorization of 51138 in exponential form is:

51138 = 2¹ × 3³ × 947¹

Step-2: Prime Factorization of 51144

Prime factors of 51144 are 2, 3, 2131. Prime factorization of 51144 in exponential form is:

51144 = 2³ × 3¹ × 2131¹

Step-3: Factors of 51138

List of positive integer factors of 51138 that divides 51138 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 947, 1894, 2841, 5682, 8523, 17046, 25569

Step-4: Factors of 51144

List of positive integer factors of 51144 that divides 51138 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2131, 4262, 6393, 8524, 12786, 17048, 25572

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51138 and 51144. The biggest common factor number is the GCF number.
So the greatest common factor 51138 and 51144 is 6.

Also check out the Least Common Multiple of 51138 and 51144