What is the Greatest Common Factor of 26685 and 26700?

Greatest common factor (GCF) of 26685 and 26700 is 15.

GCF(26685,26700) = 15

We will now calculate the prime factors of 26685 and 26700, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26685 and 26700.

How to find the GCF of 26685 and 26700?

We will first find the prime factorization of 26685 and 26700. After we will calculate the factors of 26685 and 26700 and find the biggest common factor number .

Step-1: Prime Factorization of 26685

Prime factors of 26685 are 3, 5, 593. Prime factorization of 26685 in exponential form is:

26685 = 3² × 5¹ × 593¹

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 26685

List of positive integer factors of 26685 that divides 26685 without a remainder.

1, 3, 5, 9, 15, 45, 593, 1779, 2965, 5337, 8895

Step-4: Factors of 26700

List of positive integer factors of 26700 that divides 26685 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 26685 and 26700. The biggest common factor number is the GCF number.
So the greatest common factor 26685 and 26700 is 15.

Also check out the Least Common Multiple of 26685 and 26700