What is the Greatest Common Factor of 63082 and 63100?

Greatest common factor (GCF) of 63082 and 63100 is 2.

GCF(63082,63100) = 2

We will now calculate the prime factors of 63082 and 63100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63082 and 63100.

How to find the GCF of 63082 and 63100?

We will first find the prime factorization of 63082 and 63100. After we will calculate the factors of 63082 and 63100 and find the biggest common factor number .

Step-1: Prime Factorization of 63082

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

63082 = 2¹ × 31541¹

Step-2: Prime Factorization of 63100

Prime factors of 63100 are 2, 5, 631. Prime factorization of 63100 in exponential form is:

63100 = 2² × 5² × 631¹

Step-3: Factors of 63082

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

1, 2, 31541

Step-4: Factors of 63100

List of positive integer factors of 63100 that divides 63082 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 631, 1262, 2524, 3155, 6310, 12620, 15775, 31550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63082 and 63100. The biggest common factor number is the GCF number.
So the greatest common factor 63082 and 63100 is 2.

Also check out the Least Common Multiple of 63082 and 63100