What is the Greatest Common Factor of 68695 and 68700?

Greatest common factor (GCF) of 68695 and 68700 is 5.

GCF(68695,68700) = 5

We will now calculate the prime factors of 68695 and 68700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68695 and 68700.

How to find the GCF of 68695 and 68700?

We will first find the prime factorization of 68695 and 68700. After we will calculate the factors of 68695 and 68700 and find the biggest common factor number .

Step-1: Prime Factorization of 68695

Prime factors of 68695 are 5, 11, 1249. Prime factorization of 68695 in exponential form is:

68695 = 5¹ × 11¹ × 1249¹

Step-2: Prime Factorization of 68700

Prime factors of 68700 are 2, 3, 5, 229. Prime factorization of 68700 in exponential form is:

68700 = 2² × 3¹ × 5² × 229¹

Step-3: Factors of 68695

List of positive integer factors of 68695 that divides 68695 without a remainder.

1, 5, 11, 55, 1249, 6245, 13739

Step-4: Factors of 68700

List of positive integer factors of 68700 that divides 68695 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 229, 300, 458, 687, 916, 1145, 1374, 2290, 2748, 3435, 4580, 5725, 6870, 11450, 13740, 17175, 22900, 34350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 68695 and 68700. The biggest common factor number is the GCF number.
So the greatest common factor 68695 and 68700 is 5.

Also check out the Least Common Multiple of 68695 and 68700