What is the Greatest Common Factor of 26746 and 26765?

Greatest common factor (GCF) of 26746 and 26765 is 1.

GCF(26746,26765) = 1

We will now calculate the prime factors of 26746 and 26765, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26746 and 26765.

How to find the GCF of 26746 and 26765?

We will first find the prime factorization of 26746 and 26765. After we will calculate the factors of 26746 and 26765 and find the biggest common factor number .

Step-1: Prime Factorization of 26746

Prime factors of 26746 are 2, 43, 311. Prime factorization of 26746 in exponential form is:

26746 = 2¹ × 43¹ × 311¹

Step-2: Prime Factorization of 26765

Prime factors of 26765 are 5, 53, 101. Prime factorization of 26765 in exponential form is:

26765 = 5¹ × 53¹ × 101¹

Step-3: Factors of 26746

List of positive integer factors of 26746 that divides 26746 without a remainder.

1, 2, 43, 86, 311, 622, 13373

Step-4: Factors of 26765

List of positive integer factors of 26765 that divides 26746 without a remainder.

1, 5, 53, 101, 265, 505, 5353

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26746 and 26765. The biggest common factor number is the GCF number.
So the greatest common factor 26746 and 26765 is 1.

Also check out the Least Common Multiple of 26746 and 26765