What is the Greatest Common Factor of 51050 and 51070?

Greatest common factor (GCF) of 51050 and 51070 is 10.

GCF(51050,51070) = 10

We will now calculate the prime factors of 51050 and 51070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51050 and 51070.

How to find the GCF of 51050 and 51070?

We will first find the prime factorization of 51050 and 51070. After we will calculate the factors of 51050 and 51070 and find the biggest common factor number .

Step-1: Prime Factorization of 51050

Prime factors of 51050 are 2, 5, 1021. Prime factorization of 51050 in exponential form is:

51050 = 2¹ × 5² × 1021¹

Step-2: 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-3: Factors of 51050

List of positive integer factors of 51050 that divides 51050 without a remainder.

1, 2, 5, 10, 25, 50, 1021, 2042, 5105, 10210, 25525

Step-4: Factors of 51070

List of positive integer factors of 51070 that divides 51050 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51050 and 51070. The biggest common factor number is the GCF number.
So the greatest common factor 51050 and 51070 is 10.

Also check out the Least Common Multiple of 51050 and 51070