What is the Greatest Common Factor of 63110 and 63130?

Greatest common factor (GCF) of 63110 and 63130 is 10.

GCF(63110,63130) = 10

We will now calculate the prime factors of 63110 and 63130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63110 and 63130.

How to find the GCF of 63110 and 63130?

We will first find the prime factorization of 63110 and 63130. After we will calculate the factors of 63110 and 63130 and find the biggest common factor number .

Step-1: Prime Factorization of 63110

Prime factors of 63110 are 2, 5, 6311. Prime factorization of 63110 in exponential form is:

63110 = 2¹ × 5¹ × 6311¹

Step-2: Prime Factorization of 63130

Prime factors of 63130 are 2, 5, 59, 107. Prime factorization of 63130 in exponential form is:

63130 = 2¹ × 5¹ × 59¹ × 107¹

Step-3: Factors of 63110

List of positive integer factors of 63110 that divides 63110 without a remainder.

1, 2, 5, 10, 6311, 12622, 31555

Step-4: Factors of 63130

List of positive integer factors of 63130 that divides 63110 without a remainder.

1, 2, 5, 10, 59, 107, 118, 214, 295, 535, 590, 1070, 6313, 12626, 31565

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63110 and 63130. The biggest common factor number is the GCF number.
So the greatest common factor 63110 and 63130 is 10.

Also check out the Least Common Multiple of 63110 and 63130