What is the Greatest Common Factor of 27620 and 27638?

Greatest common factor (GCF) of 27620 and 27638 is 2.

GCF(27620,27638) = 2

We will now calculate the prime factors of 27620 and 27638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27620 and 27638.

How to find the GCF of 27620 and 27638?

We will first find the prime factorization of 27620 and 27638. After we will calculate the factors of 27620 and 27638 and find the biggest common factor number .

Step-1: Prime Factorization of 27620

Prime factors of 27620 are 2, 5, 1381. Prime factorization of 27620 in exponential form is:

27620 = 2² × 5¹ × 1381¹

Step-2: Prime Factorization of 27638

Prime factors of 27638 are 2, 13, 1063. Prime factorization of 27638 in exponential form is:

27638 = 2¹ × 13¹ × 1063¹

Step-3: Factors of 27620

List of positive integer factors of 27620 that divides 27620 without a remainder.

1, 2, 4, 5, 10, 20, 1381, 2762, 5524, 6905, 13810

Step-4: Factors of 27638

List of positive integer factors of 27638 that divides 27620 without a remainder.

1, 2, 13, 26, 1063, 2126, 13819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27620 and 27638. The biggest common factor number is the GCF number.
So the greatest common factor 27620 and 27638 is 2.

Also check out the Least Common Multiple of 27620 and 27638