What is the Greatest Common Factor of 63380 and 63390?

Greatest common factor (GCF) of 63380 and 63390 is 10.

GCF(63380,63390) = 10

We will now calculate the prime factors of 63380 and 63390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63380 and 63390.

How to find the GCF of 63380 and 63390?

We will first find the prime factorization of 63380 and 63390. After we will calculate the factors of 63380 and 63390 and find the biggest common factor number .

Step-1: Prime Factorization of 63380

Prime factors of 63380 are 2, 5, 3169. Prime factorization of 63380 in exponential form is:

63380 = 2² × 5¹ × 3169¹

Step-2: 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-3: Factors of 63380

List of positive integer factors of 63380 that divides 63380 without a remainder.

1, 2, 4, 5, 10, 20, 3169, 6338, 12676, 15845, 31690

Step-4: Factors of 63390

List of positive integer factors of 63390 that divides 63380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63380 and 63390. The biggest common factor number is the GCF number.
So the greatest common factor 63380 and 63390 is 10.

Also check out the Least Common Multiple of 63380 and 63390