What is the Greatest Common Factor of 26746 and 26758?

Greatest common factor (GCF) of 26746 and 26758 is 2.

GCF(26746,26758) = 2

We will now calculate the prime factors of 26746 and 26758, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26746 and 26758.

How to find the GCF of 26746 and 26758?

We will first find the prime factorization of 26746 and 26758. After we will calculate the factors of 26746 and 26758 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 26758

Prime factors of 26758 are 2, 17, 787. Prime factorization of 26758 in exponential form is:

26758 = 2¹ × 17¹ × 787¹

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 26758

List of positive integer factors of 26758 that divides 26746 without a remainder.

1, 2, 17, 34, 787, 1574, 13379

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26746 and 26758. The biggest common factor number is the GCF number.
So the greatest common factor 26746 and 26758 is 2.

Also check out the Least Common Multiple of 26746 and 26758