What is the Greatest Common Factor of 51138 and 51142?

Greatest common factor (GCF) of 51138 and 51142 is 2.

GCF(51138,51142) = 2

We will now calculate the prime factors of 51138 and 51142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51138 and 51142.

How to find the GCF of 51138 and 51142?

We will first find the prime factorization of 51138 and 51142. After we will calculate the factors of 51138 and 51142 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 51142

Prime factors of 51142 are 2, 7, 13, 281. Prime factorization of 51142 in exponential form is:

51142 = 2¹ × 7¹ × 13¹ × 281¹

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 51142

List of positive integer factors of 51142 that divides 51138 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 281, 562, 1967, 3653, 3934, 7306, 25571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51138 and 51142. The biggest common factor number is the GCF number.
So the greatest common factor 51138 and 51142 is 2.

Also check out the Least Common Multiple of 51138 and 51142