What is the Greatest Common Factor of 63105 and 63116?

Greatest common factor (GCF) of 63105 and 63116 is 1.

GCF(63105,63116) = 1

We will now calculate the prime factors of 63105 and 63116, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63105 and 63116.

How to find the GCF of 63105 and 63116?

We will first find the prime factorization of 63105 and 63116. After we will calculate the factors of 63105 and 63116 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63116

Prime factors of 63116 are 2, 31, 509. Prime factorization of 63116 in exponential form is:

63116 = 2² × 31¹ × 509¹

Step-3: Factors of 63105

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

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

Step-4: Factors of 63116

List of positive integer factors of 63116 that divides 63105 without a remainder.

1, 2, 4, 31, 62, 124, 509, 1018, 2036, 15779, 31558

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63105 and 63116. The biggest common factor number is the GCF number.
So the greatest common factor 63105 and 63116 is 1.

Also check out the Least Common Multiple of 63105 and 63116