What is the Greatest Common Factor of 63105 and 63109?

Greatest common factor (GCF) of 63105 and 63109 is 1.

GCF(63105,63109) = 1

We will now calculate the prime factors of 63105 and 63109, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63105 and 63109.

How to find the GCF of 63105 and 63109?

We will first find the prime factorization of 63105 and 63109. After we will calculate the factors of 63105 and 63109 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 63109

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

63109 = 223¹ × 283¹

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 63109

List of positive integer factors of 63109 that divides 63105 without a remainder.

1, 223, 283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63105 and 63109. The biggest common factor number is the GCF number.
So the greatest common factor 63105 and 63109 is 1.

Also check out the Least Common Multiple of 63105 and 63109