What is the Greatest Common Factor of 26774 and 26786?

Greatest common factor (GCF) of 26774 and 26786 is 2.

GCF(26774,26786) = 2

We will now calculate the prime factors of 26774 and 26786, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26774 and 26786.

How to find the GCF of 26774 and 26786?

We will first find the prime factorization of 26774 and 26786. After we will calculate the factors of 26774 and 26786 and find the biggest common factor number .

Step-1: Prime Factorization of 26774

Prime factors of 26774 are 2, 11, 1217. Prime factorization of 26774 in exponential form is:

26774 = 2¹ × 11¹ × 1217¹

Step-2: Prime Factorization of 26786

Prime factors of 26786 are 2, 59, 227. Prime factorization of 26786 in exponential form is:

26786 = 2¹ × 59¹ × 227¹

Step-3: Factors of 26774

List of positive integer factors of 26774 that divides 26774 without a remainder.

1, 2, 11, 22, 1217, 2434, 13387

Step-4: Factors of 26786

List of positive integer factors of 26786 that divides 26774 without a remainder.

1, 2, 59, 118, 227, 454, 13393

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26774 and 26786. The biggest common factor number is the GCF number.
So the greatest common factor 26774 and 26786 is 2.

Also check out the Least Common Multiple of 26774 and 26786