What is the Greatest Common Factor of 63100 and 63105?

Greatest common factor (GCF) of 63100 and 63105 is 5.

GCF(63100,63105) = 5

We will now calculate the prime factors of 63100 and 63105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63100 and 63105.

How to find the GCF of 63100 and 63105?

We will first find the prime factorization of 63100 and 63105. After we will calculate the factors of 63100 and 63105 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 63105

Prime factors of 63105 are 3, 5, 7, 601. Prime factorization of 63105 in exponential form is:

63105 = 3¹ × 5¹ × 7¹ × 601¹

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 63105

List of positive integer factors of 63105 that divides 63100 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 601, 1803, 3005, 4207, 9015, 12621, 21035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63100 and 63105. The biggest common factor number is the GCF number.
So the greatest common factor 63100 and 63105 is 5.

Also check out the Least Common Multiple of 63100 and 63105