What is the Greatest Common Factor of 63408 and 63424?

Greatest common factor (GCF) of 63408 and 63424 is 16.

GCF(63408,63424) = 16

We will now calculate the prime factors of 63408 and 63424, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63408 and 63424.

How to find the GCF of 63408 and 63424?

We will first find the prime factorization of 63408 and 63424. After we will calculate the factors of 63408 and 63424 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 63424

Prime factors of 63424 are 2, 991. Prime factorization of 63424 in exponential form is:

63424 = 2⁶ × 991¹

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 63424

List of positive integer factors of 63424 that divides 63408 without a remainder.

1, 2, 4, 8, 16, 32, 64, 991, 1982, 3964, 7928, 15856, 31712

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63408 and 63424. The biggest common factor number is the GCF number.
So the greatest common factor 63408 and 63424 is 16.

Also check out the Least Common Multiple of 63408 and 63424