What is the Greatest Common Factor of 51130 and 51140?

Greatest common factor (GCF) of 51130 and 51140 is 10.

GCF(51130,51140) = 10

We will now calculate the prime factors of 51130 and 51140, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51130 and 51140.

How to find the GCF of 51130 and 51140?

We will first find the prime factorization of 51130 and 51140. After we will calculate the factors of 51130 and 51140 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 51140

Prime factors of 51140 are 2, 5, 2557. Prime factorization of 51140 in exponential form is:

51140 = 2² × 5¹ × 2557¹

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 51140

List of positive integer factors of 51140 that divides 51130 without a remainder.

1, 2, 4, 5, 10, 20, 2557, 5114, 10228, 12785, 25570

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51130 and 51140. The biggest common factor number is the GCF number.
So the greatest common factor 51130 and 51140 is 10.

Also check out the Least Common Multiple of 51130 and 51140