What is the Greatest Common Factor of 26760 and 26774?

Greatest common factor (GCF) of 26760 and 26774 is 2.

GCF(26760,26774) = 2

We will now calculate the prime factors of 26760 and 26774, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26760 and 26774.

How to find the GCF of 26760 and 26774?

We will first find the prime factorization of 26760 and 26774. After we will calculate the factors of 26760 and 26774 and find the biggest common factor number .

Step-1: Prime Factorization of 26760

Prime factors of 26760 are 2, 3, 5, 223. Prime factorization of 26760 in exponential form is:

26760 = 2³ × 3¹ × 5¹ × 223¹

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 26760

List of positive integer factors of 26760 that divides 26760 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 223, 446, 669, 892, 1115, 1338, 1784, 2230, 2676, 3345, 4460, 5352, 6690, 8920, 13380

Step-4: Factors of 26774

List of positive integer factors of 26774 that divides 26760 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26760 and 26774. The biggest common factor number is the GCF number.
So the greatest common factor 26760 and 26774 is 2.

Also check out the Least Common Multiple of 26760 and 26774