What is the Greatest Common Factor of 27940 and 27959?

Greatest common factor (GCF) of 27940 and 27959 is 1.

GCF(27940,27959) = 1

We will now calculate the prime factors of 27940 and 27959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27940 and 27959.

How to find the GCF of 27940 and 27959?

We will first find the prime factorization of 27940 and 27959. After we will calculate the factors of 27940 and 27959 and find the biggest common factor number .

Step-1: Prime Factorization of 27940

Prime factors of 27940 are 2, 5, 11, 127. Prime factorization of 27940 in exponential form is:

27940 = 2² × 5¹ × 11¹ × 127¹

Step-2: Prime Factorization of 27959

Prime factors of 27959 are 73, 383. Prime factorization of 27959 in exponential form is:

27959 = 73¹ × 383¹

Step-3: Factors of 27940

List of positive integer factors of 27940 that divides 27940 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 127, 220, 254, 508, 635, 1270, 1397, 2540, 2794, 5588, 6985, 13970

Step-4: Factors of 27959

List of positive integer factors of 27959 that divides 27940 without a remainder.

1, 73, 383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27940 and 27959. The biggest common factor number is the GCF number.
So the greatest common factor 27940 and 27959 is 1.

Also check out the Least Common Multiple of 27940 and 27959