What is the Greatest Common Factor of 51130 and 51148?

Greatest common factor (GCF) of 51130 and 51148 is 2.

GCF(51130,51148) = 2

We will now calculate the prime factors of 51130 and 51148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51130 and 51148.

How to find the GCF of 51130 and 51148?

We will first find the prime factorization of 51130 and 51148. After we will calculate the factors of 51130 and 51148 and find the biggest common factor number .

Step-1: Prime Factorization of 51130

Prime factors of 51130 are 2, 5, 5113. Prime factorization of 51130 in exponential form is:

51130 = 2¹ × 5¹ × 5113¹

Step-2: Prime Factorization of 51148

Prime factors of 51148 are 2, 19, 673. Prime factorization of 51148 in exponential form is:

51148 = 2² × 19¹ × 673¹

Step-3: Factors of 51130

List of positive integer factors of 51130 that divides 51130 without a remainder.

1, 2, 5, 10, 5113, 10226, 25565

Step-4: Factors of 51148

List of positive integer factors of 51148 that divides 51130 without a remainder.

1, 2, 4, 19, 38, 76, 673, 1346, 2692, 12787, 25574

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51130 and 51148. The biggest common factor number is the GCF number.
So the greatest common factor 51130 and 51148 is 2.

Also check out the Least Common Multiple of 51130 and 51148