What is the Greatest Common Factor of 26558 and 26574?

Greatest common factor (GCF) of 26558 and 26574 is 2.

GCF(26558,26574) = 2

We will now calculate the prime factors of 26558 and 26574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26558 and 26574.

How to find the GCF of 26558 and 26574?

We will first find the prime factorization of 26558 and 26574. After we will calculate the factors of 26558 and 26574 and find the biggest common factor number .

Step-1: Prime Factorization of 26558

Prime factors of 26558 are 2, 7, 271. Prime factorization of 26558 in exponential form is:

26558 = 2¹ × 7² × 271¹

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 26558

List of positive integer factors of 26558 that divides 26558 without a remainder.

1, 2, 7, 14, 49, 98, 271, 542, 1897, 3794, 13279

Step-4: Factors of 26574

List of positive integer factors of 26574 that divides 26558 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 26558 and 26574. The biggest common factor number is the GCF number.
So the greatest common factor 26558 and 26574 is 2.

Also check out the Least Common Multiple of 26558 and 26574