What is the Greatest Common Factor of 27626 and 27631?

Greatest common factor (GCF) of 27626 and 27631 is 1.

GCF(27626,27631) = 1

We will now calculate the prime factors of 27626 and 27631, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27626 and 27631.

How to find the GCF of 27626 and 27631?

We will first find the prime factorization of 27626 and 27631. After we will calculate the factors of 27626 and 27631 and find the biggest common factor number .

Step-1: Prime Factorization of 27626

Prime factors of 27626 are 2, 19, 727. Prime factorization of 27626 in exponential form is:

27626 = 2¹ × 19¹ × 727¹

Step-2: Prime Factorization of 27631

Prime factors of 27631 are 27631. Prime factorization of 27631 in exponential form is:

27631 = 27631¹

Step-3: Factors of 27626

List of positive integer factors of 27626 that divides 27626 without a remainder.

1, 2, 19, 38, 727, 1454, 13813

Step-4: Factors of 27631

List of positive integer factors of 27631 that divides 27626 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27626 and 27631. The biggest common factor number is the GCF number.
So the greatest common factor 27626 and 27631 is 1.

Also check out the Least Common Multiple of 27626 and 27631