What is the Greatest Common Factor of 26533 and 26546?

Greatest common factor (GCF) of 26533 and 26546 is 13.

GCF(26533,26546) = 13

We will now calculate the prime factors of 26533 and 26546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26533 and 26546.

How to find the GCF of 26533 and 26546?

We will first find the prime factorization of 26533 and 26546. After we will calculate the factors of 26533 and 26546 and find the biggest common factor number .

Step-1: Prime Factorization of 26533

Prime factors of 26533 are 13, 157. Prime factorization of 26533 in exponential form is:

26533 = 13² × 157¹

Step-2: Prime Factorization of 26546

Prime factors of 26546 are 2, 13, 1021. Prime factorization of 26546 in exponential form is:

26546 = 2¹ × 13¹ × 1021¹

Step-3: Factors of 26533

List of positive integer factors of 26533 that divides 26533 without a remainder.

1, 13, 157, 169, 2041

Step-4: Factors of 26546

List of positive integer factors of 26546 that divides 26533 without a remainder.

1, 2, 13, 26, 1021, 2042, 13273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26533 and 26546. The biggest common factor number is the GCF number.
So the greatest common factor 26533 and 26546 is 13.

Also check out the Least Common Multiple of 26533 and 26546