What is the Greatest Common Factor of 63112 and 63126?

Greatest common factor (GCF) of 63112 and 63126 is 14.

GCF(63112,63126) = 14

We will now calculate the prime factors of 63112 and 63126, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63112 and 63126.

How to find the GCF of 63112 and 63126?

We will first find the prime factorization of 63112 and 63126. After we will calculate the factors of 63112 and 63126 and find the biggest common factor number .

Step-1: Prime Factorization of 63112

Prime factors of 63112 are 2, 7, 23. Prime factorization of 63112 in exponential form is:

63112 = 2³ × 7³ × 23¹

Step-2: Prime Factorization of 63126

Prime factors of 63126 are 2, 3, 7, 167. Prime factorization of 63126 in exponential form is:

63126 = 2¹ × 3³ × 7¹ × 167¹

Step-3: Factors of 63112

List of positive integer factors of 63112 that divides 63112 without a remainder.

1, 2, 4, 7, 8, 14, 23, 28, 46, 49, 56, 92, 98, 161, 184, 196, 322, 343, 392, 644, 686, 1127, 1288, 1372, 2254, 2744, 4508, 7889, 9016, 15778, 31556

Step-4: Factors of 63126

List of positive integer factors of 63126 that divides 63112 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 167, 189, 334, 378, 501, 1002, 1169, 1503, 2338, 3006, 3507, 4509, 7014, 9018, 10521, 21042, 31563

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63112 and 63126. The biggest common factor number is the GCF number.
So the greatest common factor 63112 and 63126 is 14.

Also check out the Least Common Multiple of 63112 and 63126