What is the Greatest Common Factor of 63120 and 63134?

Greatest common factor (GCF) of 63120 and 63134 is 2.

GCF(63120,63134) = 2

We will now calculate the prime factors of 63120 and 63134, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63120 and 63134.

How to find the GCF of 63120 and 63134?

We will first find the prime factorization of 63120 and 63134. After we will calculate the factors of 63120 and 63134 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 63134

Prime factors of 63134 are 2, 31567. Prime factorization of 63134 in exponential form is:

63134 = 2¹ × 31567¹

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 63134

List of positive integer factors of 63134 that divides 63120 without a remainder.

1, 2, 31567

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63120 and 63134. The biggest common factor number is the GCF number.
So the greatest common factor 63120 and 63134 is 2.

Also check out the Least Common Multiple of 63120 and 63134