What is the Greatest Common Factor of 63130 and 63142?

Greatest common factor (GCF) of 63130 and 63142 is 2.

GCF(63130,63142) = 2

We will now calculate the prime factors of 63130 and 63142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63130 and 63142.

How to find the GCF of 63130 and 63142?

We will first find the prime factorization of 63130 and 63142. After we will calculate the factors of 63130 and 63142 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63142

Prime factors of 63142 are 2, 131, 241. Prime factorization of 63142 in exponential form is:

63142 = 2¹ × 131¹ × 241¹

Step-3: Factors of 63130

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

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

Step-4: Factors of 63142

List of positive integer factors of 63142 that divides 63130 without a remainder.

1, 2, 131, 241, 262, 482, 31571

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63130 and 63142. The biggest common factor number is the GCF number.
So the greatest common factor 63130 and 63142 is 2.

Also check out the Least Common Multiple of 63130 and 63142