What is the Greatest Common Factor of 26686 and 26700?

Greatest common factor (GCF) of 26686 and 26700 is 2.

GCF(26686,26700) = 2

We will now calculate the prime factors of 26686 and 26700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26686 and 26700.

How to find the GCF of 26686 and 26700?

We will first find the prime factorization of 26686 and 26700. After we will calculate the factors of 26686 and 26700 and find the biggest common factor number .

Step-1: Prime Factorization of 26686

Prime factors of 26686 are 2, 11, 1213. Prime factorization of 26686 in exponential form is:

26686 = 2¹ × 11¹ × 1213¹

Step-2: Prime Factorization of 26700

Prime factors of 26700 are 2, 3, 5, 89. Prime factorization of 26700 in exponential form is:

26700 = 2² × 3¹ × 5² × 89¹

Step-3: Factors of 26686

List of positive integer factors of 26686 that divides 26686 without a remainder.

1, 2, 11, 22, 1213, 2426, 13343

Step-4: Factors of 26700

List of positive integer factors of 26700 that divides 26686 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 89, 100, 150, 178, 267, 300, 356, 445, 534, 890, 1068, 1335, 1780, 2225, 2670, 4450, 5340, 6675, 8900, 13350

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26686 and 26700. The biggest common factor number is the GCF number.
So the greatest common factor 26686 and 26700 is 2.

Also check out the Least Common Multiple of 26686 and 26700