What is the Greatest Common Factor of 27730 and 27745?

Greatest common factor (GCF) of 27730 and 27745 is 5.

GCF(27730,27745) = 5

We will now calculate the prime factors of 27730 and 27745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27730 and 27745.

How to find the GCF of 27730 and 27745?

We will first find the prime factorization of 27730 and 27745. After we will calculate the factors of 27730 and 27745 and find the biggest common factor number .

Step-1: Prime Factorization of 27730

Prime factors of 27730 are 2, 5, 47, 59. Prime factorization of 27730 in exponential form is:

27730 = 2¹ × 5¹ × 47¹ × 59¹

Step-2: Prime Factorization of 27745

Prime factors of 27745 are 5, 31, 179. Prime factorization of 27745 in exponential form is:

27745 = 5¹ × 31¹ × 179¹

Step-3: Factors of 27730

List of positive integer factors of 27730 that divides 27730 without a remainder.

1, 2, 5, 10, 47, 59, 94, 118, 235, 295, 470, 590, 2773, 5546, 13865

Step-4: Factors of 27745

List of positive integer factors of 27745 that divides 27730 without a remainder.

1, 5, 31, 155, 179, 895, 5549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27730 and 27745. The biggest common factor number is the GCF number.
So the greatest common factor 27730 and 27745 is 5.

Also check out the Least Common Multiple of 27730 and 27745