What is the Greatest Common Factor of 51138 and 51154?

Greatest common factor (GCF) of 51138 and 51154 is 2.

GCF(51138,51154) = 2

We will now calculate the prime factors of 51138 and 51154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51138 and 51154.

How to find the GCF of 51138 and 51154?

We will first find the prime factorization of 51138 and 51154. After we will calculate the factors of 51138 and 51154 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 51154

Prime factors of 51154 are 2, 25577. Prime factorization of 51154 in exponential form is:

51154 = 2¹ × 25577¹

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 51154

List of positive integer factors of 51154 that divides 51138 without a remainder.

1, 2, 25577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51138 and 51154. The biggest common factor number is the GCF number.
So the greatest common factor 51138 and 51154 is 2.

Also check out the Least Common Multiple of 51138 and 51154