What is the Greatest Common Factor of 27530 and 27550?

Greatest common factor (GCF) of 27530 and 27550 is 10.

GCF(27530,27550) = 10

We will now calculate the prime factors of 27530 and 27550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27530 and 27550.

How to find the GCF of 27530 and 27550?

We will first find the prime factorization of 27530 and 27550. After we will calculate the factors of 27530 and 27550 and find the biggest common factor number .

Step-1: Prime Factorization of 27530

Prime factors of 27530 are 2, 5, 2753. Prime factorization of 27530 in exponential form is:

27530 = 2¹ × 5¹ × 2753¹

Step-2: Prime Factorization of 27550

Prime factors of 27550 are 2, 5, 19, 29. Prime factorization of 27550 in exponential form is:

27550 = 2¹ × 5² × 19¹ × 29¹

Step-3: Factors of 27530

List of positive integer factors of 27530 that divides 27530 without a remainder.

1, 2, 5, 10, 2753, 5506, 13765

Step-4: Factors of 27550

List of positive integer factors of 27550 that divides 27530 without a remainder.

1, 2, 5, 10, 19, 25, 29, 38, 50, 58, 95, 145, 190, 290, 475, 551, 725, 950, 1102, 1450, 2755, 5510, 13775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27530 and 27550. The biggest common factor number is the GCF number.
So the greatest common factor 27530 and 27550 is 10.

Also check out the Least Common Multiple of 27530 and 27550