What is the Greatest Common Factor of 63404 and 63420?

Greatest common factor (GCF) of 63404 and 63420 is 4.

GCF(63404,63420) = 4

We will now calculate the prime factors of 63404 and 63420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63404 and 63420.

How to find the GCF of 63404 and 63420?

We will first find the prime factorization of 63404 and 63420. After we will calculate the factors of 63404 and 63420 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 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 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 63420

List of positive integer factors of 63420 that divides 63404 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 63404 and 63420. The biggest common factor number is the GCF number.
So the greatest common factor 63404 and 63420 is 4.

Also check out the Least Common Multiple of 63404 and 63420