What is the Greatest Common Factor of 63078 and 63082?

Greatest common factor (GCF) of 63078 and 63082 is 2.

GCF(63078,63082) = 2

We will now calculate the prime factors of 63078 and 63082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63078 and 63082.

How to find the GCF of 63078 and 63082?

We will first find the prime factorization of 63078 and 63082. After we will calculate the factors of 63078 and 63082 and find the biggest common factor number .

Step-1: Prime Factorization of 63078

Prime factors of 63078 are 2, 3, 10513. Prime factorization of 63078 in exponential form is:

63078 = 2¹ × 3¹ × 10513¹

Step-2: Prime Factorization of 63082

Prime factors of 63082 are 2, 31541. Prime factorization of 63082 in exponential form is:

63082 = 2¹ × 31541¹

Step-3: Factors of 63078

List of positive integer factors of 63078 that divides 63078 without a remainder.

1, 2, 3, 6, 10513, 21026, 31539

Step-4: Factors of 63082

List of positive integer factors of 63082 that divides 63078 without a remainder.

1, 2, 31541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63078 and 63082. The biggest common factor number is the GCF number.
So the greatest common factor 63078 and 63082 is 2.

Also check out the Least Common Multiple of 63078 and 63082