What is the Greatest Common Factor of 68100 and 68115?

Greatest common factor (GCF) of 68100 and 68115 is 15.

GCF(68100,68115) = 15

We will now calculate the prime factors of 68100 and 68115, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68100 and 68115.

How to find the GCF of 68100 and 68115?

We will first find the prime factorization of 68100 and 68115. After we will calculate the factors of 68100 and 68115 and find the biggest common factor number .

Step-1: Prime Factorization of 68100

Prime factors of 68100 are 2, 3, 5, 227. Prime factorization of 68100 in exponential form is:

68100 = 2² × 3¹ × 5² × 227¹

Step-2: Prime Factorization of 68115

Prime factors of 68115 are 3, 5, 19, 239. Prime factorization of 68115 in exponential form is:

68115 = 3¹ × 5¹ × 19¹ × 239¹

Step-3: Factors of 68100

List of positive integer factors of 68100 that divides 68100 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 227, 300, 454, 681, 908, 1135, 1362, 2270, 2724, 3405, 4540, 5675, 6810, 11350, 13620, 17025, 22700, 34050

Step-4: Factors of 68115

List of positive integer factors of 68115 that divides 68100 without a remainder.

1, 3, 5, 15, 19, 57, 95, 239, 285, 717, 1195, 3585, 4541, 13623, 22705

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68100 and 68115. The biggest common factor number is the GCF number.
So the greatest common factor 68100 and 68115 is 15.

Also check out the Least Common Multiple of 68100 and 68115