What is the Greatest Common Factor of 27638 and 27650?

Greatest common factor (GCF) of 27638 and 27650 is 2.

GCF(27638,27650) = 2

We will now calculate the prime factors of 27638 and 27650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27638 and 27650.

How to find the GCF of 27638 and 27650?

We will first find the prime factorization of 27638 and 27650. After we will calculate the factors of 27638 and 27650 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 27650

Prime factors of 27650 are 2, 5, 7, 79. Prime factorization of 27650 in exponential form is:

27650 = 2¹ × 5² × 7¹ × 79¹

Step-3: Factors of 27638

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

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

Step-4: Factors of 27650

List of positive integer factors of 27650 that divides 27638 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 79, 158, 175, 350, 395, 553, 790, 1106, 1975, 2765, 3950, 5530, 13825

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27638 and 27650. The biggest common factor number is the GCF number.
So the greatest common factor 27638 and 27650 is 2.

Also check out the Least Common Multiple of 27638 and 27650