What is the Greatest Common Factor of 26562 and 26581?

Greatest common factor (GCF) of 26562 and 26581 is 19.

GCF(26562,26581) = 19

We will now calculate the prime factors of 26562 and 26581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26562 and 26581.

How to find the GCF of 26562 and 26581?

We will first find the prime factorization of 26562 and 26581. After we will calculate the factors of 26562 and 26581 and find the biggest common factor number .

Step-1: Prime Factorization of 26562

Prime factors of 26562 are 2, 3, 19, 233. Prime factorization of 26562 in exponential form is:

26562 = 2¹ × 3¹ × 19¹ × 233¹

Step-2: Prime Factorization of 26581

Prime factors of 26581 are 19, 1399. Prime factorization of 26581 in exponential form is:

26581 = 19¹ × 1399¹

Step-3: Factors of 26562

List of positive integer factors of 26562 that divides 26562 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 233, 466, 699, 1398, 4427, 8854, 13281

Step-4: Factors of 26581

List of positive integer factors of 26581 that divides 26562 without a remainder.

1, 19, 1399

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26562 and 26581. The biggest common factor number is the GCF number.
So the greatest common factor 26562 and 26581 is 19.

Also check out the Least Common Multiple of 26562 and 26581