What is the Greatest Common Factor of 63120 and 63132?

Greatest common factor (GCF) of 63120 and 63132 is 12.

GCF(63120,63132) = 12

We will now calculate the prime factors of 63120 and 63132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63120 and 63132.

How to find the GCF of 63120 and 63132?

We will first find the prime factorization of 63120 and 63132. After we will calculate the factors of 63120 and 63132 and find the biggest common factor number .

Step-1: Prime Factorization of 63120

Prime factors of 63120 are 2, 3, 5, 263. Prime factorization of 63120 in exponential form is:

63120 = 2⁴ × 3¹ × 5¹ × 263¹

Step-2: Prime Factorization of 63132

Prime factors of 63132 are 2, 3, 5261. Prime factorization of 63132 in exponential form is:

63132 = 2² × 3¹ × 5261¹

Step-3: Factors of 63120

List of positive integer factors of 63120 that divides 63120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 263, 526, 789, 1052, 1315, 1578, 2104, 2630, 3156, 3945, 4208, 5260, 6312, 7890, 10520, 12624, 15780, 21040, 31560

Step-4: Factors of 63132

List of positive integer factors of 63132 that divides 63120 without a remainder.

1, 2, 3, 4, 6, 12, 5261, 10522, 15783, 21044, 31566

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63120 and 63132. The biggest common factor number is the GCF number.
So the greatest common factor 63120 and 63132 is 12.

Also check out the Least Common Multiple of 63120 and 63132