What is the Greatest Common Factor of 26774 and 26788?

Greatest common factor (GCF) of 26774 and 26788 is 2.

GCF(26774,26788) = 2

We will now calculate the prime factors of 26774 and 26788, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26774 and 26788.

How to find the GCF of 26774 and 26788?

We will first find the prime factorization of 26774 and 26788. After we will calculate the factors of 26774 and 26788 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 26788

Prime factors of 26788 are 2, 37, 181. Prime factorization of 26788 in exponential form is:

26788 = 2² × 37¹ × 181¹

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 26788

List of positive integer factors of 26788 that divides 26774 without a remainder.

1, 2, 4, 37, 74, 148, 181, 362, 724, 6697, 13394

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26774 and 26788. The biggest common factor number is the GCF number.
So the greatest common factor 26774 and 26788 is 2.

Also check out the Least Common Multiple of 26774 and 26788