What is the Greatest Common Factor of 63390 and 63404?

Greatest common factor (GCF) of 63390 and 63404 is 2.

GCF(63390,63404) = 2

We will now calculate the prime factors of 63390 and 63404, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63390 and 63404.

How to find the GCF of 63390 and 63404?

We will first find the prime factorization of 63390 and 63404. After we will calculate the factors of 63390 and 63404 and find the biggest common factor number .

Step-1: Prime Factorization of 63390

Prime factors of 63390 are 2, 3, 5, 2113. Prime factorization of 63390 in exponential form is:

63390 = 2¹ × 3¹ × 5¹ × 2113¹

Step-2: 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-3: Factors of 63390

List of positive integer factors of 63390 that divides 63390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2113, 4226, 6339, 10565, 12678, 21130, 31695

Step-4: Factors of 63404

List of positive integer factors of 63404 that divides 63390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63390 and 63404. The biggest common factor number is the GCF number.
So the greatest common factor 63390 and 63404 is 2.

Also check out the Least Common Multiple of 63390 and 63404