What is the Greatest Common Factor of 63150 and 63162?

Greatest common factor (GCF) of 63150 and 63162 is 6.

GCF(63150,63162) = 6

We will now calculate the prime factors of 63150 and 63162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63150 and 63162.

How to find the GCF of 63150 and 63162?

We will first find the prime factorization of 63150 and 63162. After we will calculate the factors of 63150 and 63162 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 63162

Prime factors of 63162 are 2, 3, 11, 29. Prime factorization of 63162 in exponential form is:

63162 = 2¹ × 3² × 11² × 29¹

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 63162

List of positive integer factors of 63162 that divides 63150 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 29, 33, 58, 66, 87, 99, 121, 174, 198, 242, 261, 319, 363, 522, 638, 726, 957, 1089, 1914, 2178, 2871, 3509, 5742, 7018, 10527, 21054, 31581

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63150 and 63162. The biggest common factor number is the GCF number.
So the greatest common factor 63150 and 63162 is 6.

Also check out the Least Common Multiple of 63150 and 63162