What is the Greatest Common Factor of 63100 and 63109?

Greatest common factor (GCF) of 63100 and 63109 is 1.

GCF(63100,63109) = 1

We will now calculate the prime factors of 63100 and 63109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63100 and 63109.

How to find the GCF of 63100 and 63109?

We will first find the prime factorization of 63100 and 63109. After we will calculate the factors of 63100 and 63109 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63109

Prime factors of 63109 are 223, 283. Prime factorization of 63109 in exponential form is:

63109 = 223¹ × 283¹

Step-3: Factors of 63100

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

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

Step-4: Factors of 63109

List of positive integer factors of 63109 that divides 63100 without a remainder.

1, 223, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63100 and 63109. The biggest common factor number is the GCF number.
So the greatest common factor 63100 and 63109 is 1.

Also check out the Least Common Multiple of 63100 and 63109