What is the Greatest Common Factor of 63408 and 63420?

Greatest common factor (GCF) of 63408 and 63420 is 12.

GCF(63408,63420) = 12

We will now calculate the prime factors of 63408 and 63420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63408 and 63420.

How to find the GCF of 63408 and 63420?

We will first find the prime factorization of 63408 and 63420. After we will calculate the factors of 63408 and 63420 and find the biggest common factor number .

Step-1: Prime Factorization of 63408

Prime factors of 63408 are 2, 3, 1321. Prime factorization of 63408 in exponential form is:

63408 = 2⁴ × 3¹ × 1321¹

Step-2: Prime Factorization of 63420

Prime factors of 63420 are 2, 3, 5, 7, 151. Prime factorization of 63420 in exponential form is:

63420 = 2² × 3¹ × 5¹ × 7¹ × 151¹

Step-3: Factors of 63408

List of positive integer factors of 63408 that divides 63408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1321, 2642, 3963, 5284, 7926, 10568, 15852, 21136, 31704

Step-4: Factors of 63420

List of positive integer factors of 63420 that divides 63408 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 151, 210, 302, 420, 453, 604, 755, 906, 1057, 1510, 1812, 2114, 2265, 3020, 3171, 4228, 4530, 5285, 6342, 9060, 10570, 12684, 15855, 21140, 31710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63408 and 63420. The biggest common factor number is the GCF number.
So the greatest common factor 63408 and 63420 is 12.

Also check out the Least Common Multiple of 63408 and 63420