What is the Greatest Common Factor of 26637 and 26650?

Greatest common factor (GCF) of 26637 and 26650 is 13.

GCF(26637,26650) = 13

We will now calculate the prime factors of 26637 and 26650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26637 and 26650.

How to find the GCF of 26637 and 26650?

We will first find the prime factorization of 26637 and 26650. After we will calculate the factors of 26637 and 26650 and find the biggest common factor number .

Step-1: Prime Factorization of 26637

Prime factors of 26637 are 3, 13, 683. Prime factorization of 26637 in exponential form is:

26637 = 3¹ × 13¹ × 683¹

Step-2: Prime Factorization of 26650

Prime factors of 26650 are 2, 5, 13, 41. Prime factorization of 26650 in exponential form is:

26650 = 2¹ × 5² × 13¹ × 41¹

Step-3: Factors of 26637

List of positive integer factors of 26637 that divides 26637 without a remainder.

1, 3, 13, 39, 683, 2049, 8879

Step-4: Factors of 26650

List of positive integer factors of 26650 that divides 26637 without a remainder.

1, 2, 5, 10, 13, 25, 26, 41, 50, 65, 82, 130, 205, 325, 410, 533, 650, 1025, 1066, 2050, 2665, 5330, 13325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26637 and 26650. The biggest common factor number is the GCF number.
So the greatest common factor 26637 and 26650 is 13.

Also check out the Least Common Multiple of 26637 and 26650