What is the Greatest Common Factor of 63404 and 63408?

Greatest common factor (GCF) of 63404 and 63408 is 4.

GCF(63404,63408) = 4

We will now calculate the prime factors of 63404 and 63408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63404 and 63408.

How to find the GCF of 63404 and 63408?

We will first find the prime factorization of 63404 and 63408. After we will calculate the factors of 63404 and 63408 and find the biggest common factor number .

Step-1: Prime Factorization of 63404

Prime factors of 63404 are 2, 11, 131. Prime factorization of 63404 in exponential form is:

63404 = 2² × 11² × 131¹

Step-2: 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-3: Factors of 63404

List of positive integer factors of 63404 that divides 63404 without a remainder.

1, 2, 4, 11, 22, 44, 121, 131, 242, 262, 484, 524, 1441, 2882, 5764, 15851, 31702

Step-4: Factors of 63408

List of positive integer factors of 63408 that divides 63404 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63404 and 63408. The biggest common factor number is the GCF number.
So the greatest common factor 63404 and 63408 is 4.

Also check out the Least Common Multiple of 63404 and 63408