What is the Greatest Common Factor of 26705 and 26714?

Greatest common factor (GCF) of 26705 and 26714 is 1.

GCF(26705,26714) = 1

We will now calculate the prime factors of 26705 and 26714, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26705 and 26714.

How to find the GCF of 26705 and 26714?

We will first find the prime factorization of 26705 and 26714. After we will calculate the factors of 26705 and 26714 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 26714

Prime factors of 26714 are 2, 19, 37. Prime factorization of 26714 in exponential form is:

26714 = 2¹ × 19² × 37¹

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 26714

List of positive integer factors of 26714 that divides 26705 without a remainder.

1, 2, 19, 37, 38, 74, 361, 703, 722, 1406, 13357

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26705 and 26714. The biggest common factor number is the GCF number.
So the greatest common factor 26705 and 26714 is 1.

Also check out the Least Common Multiple of 26705 and 26714