What is the Greatest Common Factor of 63111 and 63130?

Greatest common factor (GCF) of 63111 and 63130 is 1.

GCF(63111,63130) = 1

We will now calculate the prime factors of 63111 and 63130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63111 and 63130.

How to find the GCF of 63111 and 63130?

We will first find the prime factorization of 63111 and 63130. After we will calculate the factors of 63111 and 63130 and find the biggest common factor number .

Step-1: Prime Factorization of 63111

Prime factors of 63111 are 3, 109, 193. Prime factorization of 63111 in exponential form is:

63111 = 3¹ × 109¹ × 193¹

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 63111

List of positive integer factors of 63111 that divides 63111 without a remainder.

1, 3, 109, 193, 327, 579, 21037

Step-4: Factors of 63130

List of positive integer factors of 63130 that divides 63111 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 63111 and 63130. The biggest common factor number is the GCF number.
So the greatest common factor 63111 and 63130 is 1.

Also check out the Least Common Multiple of 63111 and 63130