What is the Greatest Common Factor of 26553 and 26562?

Greatest common factor (GCF) of 26553 and 26562 is 3.

GCF(26553,26562) = 3

We will now calculate the prime factors of 26553 and 26562, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 26553 and 26562.

How to find the GCF of 26553 and 26562?

We will first find the prime factorization of 26553 and 26562. After we will calculate the factors of 26553 and 26562 and find the biggest common factor number .

Step-1: Prime Factorization of 26553

Prime factors of 26553 are 3, 53, 167. Prime factorization of 26553 in exponential form is:

26553 = 3¹ × 53¹ × 167¹

Step-2: 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-3: Factors of 26553

List of positive integer factors of 26553 that divides 26553 without a remainder.

1, 3, 53, 159, 167, 501, 8851

Step-4: Factors of 26562

List of positive integer factors of 26562 that divides 26553 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 26553 and 26562. The biggest common factor number is the GCF number.
So the greatest common factor 26553 and 26562 is 3.

Also check out the Least Common Multiple of 26553 and 26562