What is the Greatest Common Factor of 26542 and 26561?

Greatest common factor (GCF) of 26542 and 26561 is 1.

GCF(26542,26561) = 1

We will now calculate the prime factors of 26542 and 26561, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26542 and 26561.

How to find the GCF of 26542 and 26561?

We will first find the prime factorization of 26542 and 26561. After we will calculate the factors of 26542 and 26561 and find the biggest common factor number .

Step-1: Prime Factorization of 26542

Prime factors of 26542 are 2, 23, 577. Prime factorization of 26542 in exponential form is:

26542 = 2¹ × 23¹ × 577¹

Step-2: Prime Factorization of 26561

Prime factors of 26561 are 26561. Prime factorization of 26561 in exponential form is:

26561 = 26561¹

Step-3: Factors of 26542

List of positive integer factors of 26542 that divides 26542 without a remainder.

1, 2, 23, 46, 577, 1154, 13271

Step-4: Factors of 26561

List of positive integer factors of 26561 that divides 26542 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26542 and 26561. The biggest common factor number is the GCF number.
So the greatest common factor 26542 and 26561 is 1.

Also check out the Least Common Multiple of 26542 and 26561