What is the Greatest Common Factor of 26558 and 26570?

Greatest common factor (GCF) of 26558 and 26570 is 2.

GCF(26558,26570) = 2

We will now calculate the prime factors of 26558 and 26570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26558 and 26570.

How to find the GCF of 26558 and 26570?

We will first find the prime factorization of 26558 and 26570. After we will calculate the factors of 26558 and 26570 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 26570

Prime factors of 26570 are 2, 5, 2657. Prime factorization of 26570 in exponential form is:

26570 = 2¹ × 5¹ × 2657¹

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 26570

List of positive integer factors of 26570 that divides 26558 without a remainder.

1, 2, 5, 10, 2657, 5314, 13285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26558 and 26570. The biggest common factor number is the GCF number.
So the greatest common factor 26558 and 26570 is 2.

Also check out the Least Common Multiple of 26558 and 26570