What is the Greatest Common Factor of 26536 and 26542?

Greatest common factor (GCF) of 26536 and 26542 is 2.

GCF(26536,26542) = 2

We will now calculate the prime factors of 26536 and 26542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26536 and 26542.

How to find the GCF of 26536 and 26542?

We will first find the prime factorization of 26536 and 26542. After we will calculate the factors of 26536 and 26542 and find the biggest common factor number .

Step-1: Prime Factorization of 26536

Prime factors of 26536 are 2, 31, 107. Prime factorization of 26536 in exponential form is:

26536 = 2³ × 31¹ × 107¹

Step-2: 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-3: Factors of 26536

List of positive integer factors of 26536 that divides 26536 without a remainder.

1, 2, 4, 8, 31, 62, 107, 124, 214, 248, 428, 856, 3317, 6634, 13268

Step-4: Factors of 26542

List of positive integer factors of 26542 that divides 26536 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26536 and 26542. The biggest common factor number is the GCF number.
So the greatest common factor 26536 and 26542 is 2.

Also check out the Least Common Multiple of 26536 and 26542