What is the Greatest Common Factor of 68691 and 68700?

Greatest common factor (GCF) of 68691 and 68700 is 3.

GCF(68691,68700) = 3

We will now calculate the prime factors of 68691 and 68700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 68691 and 68700.

How to find the GCF of 68691 and 68700?

We will first find the prime factorization of 68691 and 68700. After we will calculate the factors of 68691 and 68700 and find the biggest common factor number .

Step-1: Prime Factorization of 68691

Prime factors of 68691 are 3, 7, 3271. Prime factorization of 68691 in exponential form is:

68691 = 3¹ × 7¹ × 3271¹

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 68691

List of positive integer factors of 68691 that divides 68691 without a remainder.

1, 3, 7, 21, 3271, 9813, 22897

Step-4: Factors of 68700

List of positive integer factors of 68700 that divides 68691 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 68691 and 68700. The biggest common factor number is the GCF number.
So the greatest common factor 68691 and 68700 is 3.

Also check out the Least Common Multiple of 68691 and 68700