What is the Greatest Common Factor of 26566 and 26574?

Greatest common factor (GCF) of 26566 and 26574 is 2.

GCF(26566,26574) = 2

We will now calculate the prime factors of 26566 and 26574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26566 and 26574.

How to find the GCF of 26566 and 26574?

We will first find the prime factorization of 26566 and 26574. After we will calculate the factors of 26566 and 26574 and find the biggest common factor number .

Step-1: Prime Factorization of 26566

Prime factors of 26566 are 2, 37, 359. Prime factorization of 26566 in exponential form is:

26566 = 2¹ × 37¹ × 359¹

Step-2: Prime Factorization of 26574

Prime factors of 26574 are 2, 3, 43, 103. Prime factorization of 26574 in exponential form is:

26574 = 2¹ × 3¹ × 43¹ × 103¹

Step-3: Factors of 26566

List of positive integer factors of 26566 that divides 26566 without a remainder.

1, 2, 37, 74, 359, 718, 13283

Step-4: Factors of 26574

List of positive integer factors of 26574 that divides 26566 without a remainder.

1, 2, 3, 6, 43, 86, 103, 129, 206, 258, 309, 618, 4429, 8858, 13287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26566 and 26574. The biggest common factor number is the GCF number.
So the greatest common factor 26566 and 26574 is 2.

Also check out the Least Common Multiple of 26566 and 26574