What is the Greatest Common Factor of 63408 and 63417?

Greatest common factor (GCF) of 63408 and 63417 is 3.

GCF(63408,63417) = 3

We will now calculate the prime factors of 63408 and 63417, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63408 and 63417.

How to find the GCF of 63408 and 63417?

We will first find the prime factorization of 63408 and 63417. After we will calculate the factors of 63408 and 63417 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 63417

Prime factors of 63417 are 3, 21139. Prime factorization of 63417 in exponential form is:

63417 = 3¹ × 21139¹

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 63417

List of positive integer factors of 63417 that divides 63408 without a remainder.

1, 3, 21139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63408 and 63417. The biggest common factor number is the GCF number.
So the greatest common factor 63408 and 63417 is 3.

Also check out the Least Common Multiple of 63408 and 63417