What is the Greatest Common Factor of 63124 and 63130?

Greatest common factor (GCF) of 63124 and 63130 is 2.

GCF(63124,63130) = 2

We will now calculate the prime factors of 63124 and 63130, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63124 and 63130.

How to find the GCF of 63124 and 63130?

We will first find the prime factorization of 63124 and 63130. After we will calculate the factors of 63124 and 63130 and find the biggest common factor number .

Step-1: Prime Factorization of 63124

Prime factors of 63124 are 2, 43, 367. Prime factorization of 63124 in exponential form is:

63124 = 2² × 43¹ × 367¹

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 63124

List of positive integer factors of 63124 that divides 63124 without a remainder.

1, 2, 4, 43, 86, 172, 367, 734, 1468, 15781, 31562

Step-4: Factors of 63130

List of positive integer factors of 63130 that divides 63124 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 63124 and 63130. The biggest common factor number is the GCF number.
So the greatest common factor 63124 and 63130 is 2.

Also check out the Least Common Multiple of 63124 and 63130