What is the Greatest Common Factor of 67686 and 67700?

Greatest common factor (GCF) of 67686 and 67700 is 2.

GCF(67686,67700) = 2

We will now calculate the prime factors of 67686 and 67700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 67686 and 67700.

How to find the GCF of 67686 and 67700?

We will first find the prime factorization of 67686 and 67700. After we will calculate the factors of 67686 and 67700 and find the biggest common factor number .

Step-1: Prime Factorization of 67686

Prime factors of 67686 are 2, 3, 29, 389. Prime factorization of 67686 in exponential form is:

67686 = 2¹ × 3¹ × 29¹ × 389¹

Step-2: Prime Factorization of 67700

Prime factors of 67700 are 2, 5, 677. Prime factorization of 67700 in exponential form is:

67700 = 2² × 5² × 677¹

Step-3: Factors of 67686

List of positive integer factors of 67686 that divides 67686 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 389, 778, 1167, 2334, 11281, 22562, 33843

Step-4: Factors of 67700

List of positive integer factors of 67700 that divides 67686 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 677, 1354, 2708, 3385, 6770, 13540, 16925, 33850

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 67686 and 67700. The biggest common factor number is the GCF number.
So the greatest common factor 67686 and 67700 is 2.

Also check out the Least Common Multiple of 67686 and 67700