What is the Greatest Common Factor of 63420 and 63432?

Greatest common factor (GCF) of 63420 and 63432 is 12.

GCF(63420,63432) = 12

We will now calculate the prime factors of 63420 and 63432, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63420 and 63432.

How to find the GCF of 63420 and 63432?

We will first find the prime factorization of 63420 and 63432. After we will calculate the factors of 63420 and 63432 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63432

Prime factors of 63432 are 2, 3, 881. Prime factorization of 63432 in exponential form is:

63432 = 2³ × 3² × 881¹

Step-3: Factors of 63420

List of positive integer factors of 63420 that divides 63420 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

Step-4: Factors of 63432

List of positive integer factors of 63432 that divides 63420 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 881, 1762, 2643, 3524, 5286, 7048, 7929, 10572, 15858, 21144, 31716

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63420 and 63432. The biggest common factor number is the GCF number.
So the greatest common factor 63420 and 63432 is 12.

Also check out the Least Common Multiple of 63420 and 63432