What is the Greatest Common Factor of 63150 and 63170?

Greatest common factor (GCF) of 63150 and 63170 is 10.

GCF(63150,63170) = 10

We will now calculate the prime factors of 63150 and 63170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63150 and 63170.

How to find the GCF of 63150 and 63170?

We will first find the prime factorization of 63150 and 63170. After we will calculate the factors of 63150 and 63170 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 63170

Prime factors of 63170 are 2, 5, 6317. Prime factorization of 63170 in exponential form is:

63170 = 2¹ × 5¹ × 6317¹

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 63170

List of positive integer factors of 63170 that divides 63150 without a remainder.

1, 2, 5, 10, 6317, 12634, 31585

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63150 and 63170. The biggest common factor number is the GCF number.
So the greatest common factor 63150 and 63170 is 10.

Also check out the Least Common Multiple of 63150 and 63170