What is the Greatest Common Factor of 26675 and 26690?

Greatest common factor (GCF) of 26675 and 26690 is 5.

GCF(26675,26690) = 5

We will now calculate the prime factors of 26675 and 26690, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26675 and 26690.

How to find the GCF of 26675 and 26690?

We will first find the prime factorization of 26675 and 26690. After we will calculate the factors of 26675 and 26690 and find the biggest common factor number .

Step-1: Prime Factorization of 26675

Prime factors of 26675 are 5, 11, 97. Prime factorization of 26675 in exponential form is:

26675 = 5² × 11¹ × 97¹

Step-2: Prime Factorization of 26690

Prime factors of 26690 are 2, 5, 17, 157. Prime factorization of 26690 in exponential form is:

26690 = 2¹ × 5¹ × 17¹ × 157¹

Step-3: Factors of 26675

List of positive integer factors of 26675 that divides 26675 without a remainder.

1, 5, 11, 25, 55, 97, 275, 485, 1067, 2425, 5335

Step-4: Factors of 26690

List of positive integer factors of 26690 that divides 26675 without a remainder.

1, 2, 5, 10, 17, 34, 85, 157, 170, 314, 785, 1570, 2669, 5338, 13345

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26675 and 26690. The biggest common factor number is the GCF number.
So the greatest common factor 26675 and 26690 is 5.

Also check out the Least Common Multiple of 26675 and 26690