What is the Greatest Common Factor of 51070 and 51080?

Greatest common factor (GCF) of 51070 and 51080 is 10.

GCF(51070,51080) = 10

We will now calculate the prime factors of 51070 and 51080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51070 and 51080.

How to find the GCF of 51070 and 51080?

We will first find the prime factorization of 51070 and 51080. After we will calculate the factors of 51070 and 51080 and find the biggest common factor number .

Step-1: Prime Factorization of 51070

Prime factors of 51070 are 2, 5, 5107. Prime factorization of 51070 in exponential form is:

51070 = 2¹ × 5¹ × 5107¹

Step-2: Prime Factorization of 51080

Prime factors of 51080 are 2, 5, 1277. Prime factorization of 51080 in exponential form is:

51080 = 2³ × 5¹ × 1277¹

Step-3: Factors of 51070

List of positive integer factors of 51070 that divides 51070 without a remainder.

1, 2, 5, 10, 5107, 10214, 25535

Step-4: Factors of 51080

List of positive integer factors of 51080 that divides 51070 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1277, 2554, 5108, 6385, 10216, 12770, 25540

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51070 and 51080. The biggest common factor number is the GCF number.
So the greatest common factor 51070 and 51080 is 10.

Also check out the Least Common Multiple of 51070 and 51080