What is the Greatest Common Factor of 27940 and 27951?

Greatest common factor (GCF) of 27940 and 27951 is 11.

GCF(27940,27951) = 11

We will now calculate the prime factors of 27940 and 27951, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27940 and 27951.

How to find the GCF of 27940 and 27951?

We will first find the prime factorization of 27940 and 27951. After we will calculate the factors of 27940 and 27951 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 27951

Prime factors of 27951 are 3, 7, 11. Prime factorization of 27951 in exponential form is:

27951 = 3¹ × 7¹ × 11³

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 27951

List of positive integer factors of 27951 that divides 27940 without a remainder.

1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 1331, 2541, 3993, 9317

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27940 and 27951. The biggest common factor number is the GCF number.
So the greatest common factor 27940 and 27951 is 11.

Also check out the Least Common Multiple of 27940 and 27951