What is the Greatest Common Factor of 27760 and 27775?

Greatest common factor (GCF) of 27760 and 27775 is 5.

GCF(27760,27775) = 5

We will now calculate the prime factors of 27760 and 27775, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27760 and 27775.

How to find the GCF of 27760 and 27775?

We will first find the prime factorization of 27760 and 27775. After we will calculate the factors of 27760 and 27775 and find the biggest common factor number .

Step-1: Prime Factorization of 27760

Prime factors of 27760 are 2, 5, 347. Prime factorization of 27760 in exponential form is:

27760 = 2⁴ × 5¹ × 347¹

Step-2: Prime Factorization of 27775

Prime factors of 27775 are 5, 11, 101. Prime factorization of 27775 in exponential form is:

27775 = 5² × 11¹ × 101¹

Step-3: Factors of 27760

List of positive integer factors of 27760 that divides 27760 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 347, 694, 1388, 1735, 2776, 3470, 5552, 6940, 13880

Step-4: Factors of 27775

List of positive integer factors of 27775 that divides 27760 without a remainder.

1, 5, 11, 25, 55, 101, 275, 505, 1111, 2525, 5555

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27760 and 27775. The biggest common factor number is the GCF number.
So the greatest common factor 27760 and 27775 is 5.

Also check out the Least Common Multiple of 27760 and 27775