What is the Greatest Common Factor of 68100 and 68107?

Greatest common factor (GCF) of 68100 and 68107 is 1.

GCF(68100,68107) = 1

We will now calculate the prime factors of 68100 and 68107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68100 and 68107.

How to find the GCF of 68100 and 68107?

We will first find the prime factorization of 68100 and 68107. After we will calculate the factors of 68100 and 68107 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 68107

Prime factors of 68107 are 13, 31. Prime factorization of 68107 in exponential form is:

68107 = 13³ × 31¹

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 68107

List of positive integer factors of 68107 that divides 68100 without a remainder.

1, 13, 31, 169, 403, 2197, 5239

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68100 and 68107. The biggest common factor number is the GCF number.
So the greatest common factor 68100 and 68107 is 1.

Also check out the Least Common Multiple of 68100 and 68107