What is the Greatest Common Factor of 27607 and 27626?

Greatest common factor (GCF) of 27607 and 27626 is 19.

GCF(27607,27626) = 19

We will now calculate the prime factors of 27607 and 27626, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27607 and 27626.

How to find the GCF of 27607 and 27626?

We will first find the prime factorization of 27607 and 27626. After we will calculate the factors of 27607 and 27626 and find the biggest common factor number .

Step-1: Prime Factorization of 27607

Prime factors of 27607 are 19, 1453. Prime factorization of 27607 in exponential form is:

27607 = 19¹ × 1453¹

Step-2: 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-3: Factors of 27607

List of positive integer factors of 27607 that divides 27607 without a remainder.

1, 19, 1453

Step-4: Factors of 27626

List of positive integer factors of 27626 that divides 27607 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27607 and 27626. The biggest common factor number is the GCF number.
So the greatest common factor 27607 and 27626 is 19.

Also check out the Least Common Multiple of 27607 and 27626