What is the Greatest Common Factor of 26768 and 26774?

Greatest common factor (GCF) of 26768 and 26774 is 2.

GCF(26768,26774) = 2

We will now calculate the prime factors of 26768 and 26774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26768 and 26774.

How to find the GCF of 26768 and 26774?

We will first find the prime factorization of 26768 and 26774. After we will calculate the factors of 26768 and 26774 and find the biggest common factor number .

Step-1: Prime Factorization of 26768

Prime factors of 26768 are 2, 7, 239. Prime factorization of 26768 in exponential form is:

26768 = 2⁴ × 7¹ × 239¹

Step-2: 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-3: Factors of 26768

List of positive integer factors of 26768 that divides 26768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 239, 478, 956, 1673, 1912, 3346, 3824, 6692, 13384

Step-4: Factors of 26774

List of positive integer factors of 26774 that divides 26768 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26768 and 26774. The biggest common factor number is the GCF number.
So the greatest common factor 26768 and 26774 is 2.

Also check out the Least Common Multiple of 26768 and 26774