What is the Greatest Common Factor of 27930 and 27940?

Greatest common factor (GCF) of 27930 and 27940 is 10.

GCF(27930,27940) = 10

We will now calculate the prime factors of 27930 and 27940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 27930 and 27940.

How to find the GCF of 27930 and 27940?

We will first find the prime factorization of 27930 and 27940. After we will calculate the factors of 27930 and 27940 and find the biggest common factor number .

Step-1: Prime Factorization of 27930

Prime factors of 27930 are 2, 3, 5, 7, 19. Prime factorization of 27930 in exponential form is:

27930 = 2¹ × 3¹ × 5¹ × 7² × 19¹

Step-2: 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-3: Factors of 27930

List of positive integer factors of 27930 that divides 27930 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 19, 21, 30, 35, 38, 42, 49, 57, 70, 95, 98, 105, 114, 133, 147, 190, 210, 245, 266, 285, 294, 399, 490, 570, 665, 735, 798, 931, 1330, 1470, 1862, 1995, 2793, 3990, 4655, 5586, 9310, 13965

Step-4: Factors of 27940

List of positive integer factors of 27940 that divides 27930 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 27930 and 27940. The biggest common factor number is the GCF number.
So the greatest common factor 27930 and 27940 is 10.

Also check out the Least Common Multiple of 27930 and 27940