What is the Greatest Common Factor of 26705 and 26710?

Greatest common factor (GCF) of 26705 and 26710 is 5.

GCF(26705,26710) = 5

We will now calculate the prime factors of 26705 and 26710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26705 and 26710.

How to find the GCF of 26705 and 26710?

We will first find the prime factorization of 26705 and 26710. After we will calculate the factors of 26705 and 26710 and find the biggest common factor number .

Step-1: Prime Factorization of 26705

Prime factors of 26705 are 5, 7, 109. Prime factorization of 26705 in exponential form is:

26705 = 5¹ × 7² × 109¹

Step-2: Prime Factorization of 26710

Prime factors of 26710 are 2, 5, 2671. Prime factorization of 26710 in exponential form is:

26710 = 2¹ × 5¹ × 2671¹

Step-3: Factors of 26705

List of positive integer factors of 26705 that divides 26705 without a remainder.

1, 5, 7, 35, 49, 109, 245, 545, 763, 3815, 5341

Step-4: Factors of 26710

List of positive integer factors of 26710 that divides 26705 without a remainder.

1, 2, 5, 10, 2671, 5342, 13355

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26705 and 26710. The biggest common factor number is the GCF number.
So the greatest common factor 26705 and 26710 is 5.

Also check out the Least Common Multiple of 26705 and 26710