What is the Greatest Common Factor of 26540 and 26558?

Greatest common factor (GCF) of 26540 and 26558 is 2.

GCF(26540,26558) = 2

We will now calculate the prime factors of 26540 and 26558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26540 and 26558.

How to find the GCF of 26540 and 26558?

We will first find the prime factorization of 26540 and 26558. After we will calculate the factors of 26540 and 26558 and find the biggest common factor number .

Step-1: Prime Factorization of 26540

Prime factors of 26540 are 2, 5, 1327. Prime factorization of 26540 in exponential form is:

26540 = 2² × 5¹ × 1327¹

Step-2: 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-3: Factors of 26540

List of positive integer factors of 26540 that divides 26540 without a remainder.

1, 2, 4, 5, 10, 20, 1327, 2654, 5308, 6635, 13270

Step-4: Factors of 26558

List of positive integer factors of 26558 that divides 26540 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26540 and 26558. The biggest common factor number is the GCF number.
So the greatest common factor 26540 and 26558 is 2.

Also check out the Least Common Multiple of 26540 and 26558