What is the Greatest Common Factor of 63126 and 63146?

Greatest common factor (GCF) of 63126 and 63146 is 2.

GCF(63126,63146) = 2

We will now calculate the prime factors of 63126 and 63146, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63126 and 63146.

How to find the GCF of 63126 and 63146?

We will first find the prime factorization of 63126 and 63146. After we will calculate the factors of 63126 and 63146 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63146

Prime factors of 63146 are 2, 31573. Prime factorization of 63146 in exponential form is:

63146 = 2¹ × 31573¹

Step-3: Factors of 63126

List of positive integer factors of 63126 that divides 63126 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

Step-4: Factors of 63146

List of positive integer factors of 63146 that divides 63126 without a remainder.

1, 2, 31573

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63126 and 63146. The biggest common factor number is the GCF number.
So the greatest common factor 63126 and 63146 is 2.

Also check out the Least Common Multiple of 63126 and 63146