What is the Greatest Common Factor of 63150 and 63165?

Greatest common factor (GCF) of 63150 and 63165 is 15.

GCF(63150,63165) = 15

We will now calculate the prime factors of 63150 and 63165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63150 and 63165.

How to find the GCF of 63150 and 63165?

We will first find the prime factorization of 63150 and 63165. After we will calculate the factors of 63150 and 63165 and find the biggest common factor number .

Step-1: Prime Factorization of 63150

Prime factors of 63150 are 2, 3, 5, 421. Prime factorization of 63150 in exponential form is:

63150 = 2¹ × 3¹ × 5² × 421¹

Step-2: Prime Factorization of 63165

Prime factors of 63165 are 3, 5, 4211. Prime factorization of 63165 in exponential form is:

63165 = 3¹ × 5¹ × 4211¹

Step-3: Factors of 63150

List of positive integer factors of 63150 that divides 63150 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 421, 842, 1263, 2105, 2526, 4210, 6315, 10525, 12630, 21050, 31575

Step-4: Factors of 63165

List of positive integer factors of 63165 that divides 63150 without a remainder.

1, 3, 5, 15, 4211, 12633, 21055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63150 and 63165. The biggest common factor number is the GCF number.
So the greatest common factor 63150 and 63165 is 15.

Also check out the Least Common Multiple of 63150 and 63165