What is the Greatest Common Factor of 15930 and 15940?

Greatest common factor (GCF) of 15930 and 15940 is 10.

GCF(15930,15940) = 10

We will now calculate the prime factors of 15930 and 15940, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15930 and 15940.

How to find the GCF of 15930 and 15940?

We will first find the prime factorization of 15930 and 15940. After we will calculate the factors of 15930 and 15940 and find the biggest common factor number .

Step-1: Prime Factorization of 15930

Prime factors of 15930 are 2, 3, 5, 59. Prime factorization of 15930 in exponential form is:

15930 = 2¹ × 3³ × 5¹ × 59¹

Step-2: Prime Factorization of 15940

Prime factors of 15940 are 2, 5, 797. Prime factorization of 15940 in exponential form is:

15940 = 2² × 5¹ × 797¹

Step-3: Factors of 15930

List of positive integer factors of 15930 that divides 15930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 90, 118, 135, 177, 270, 295, 354, 531, 590, 885, 1062, 1593, 1770, 2655, 3186, 5310, 7965

Step-4: Factors of 15940

List of positive integer factors of 15940 that divides 15930 without a remainder.

1, 2, 4, 5, 10, 20, 797, 1594, 3188, 3985, 7970

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15930 and 15940. The biggest common factor number is the GCF number.
So the greatest common factor 15930 and 15940 is 10.

Also check out the Least Common Multiple of 15930 and 15940