What is the Greatest Common Factor of 38940 and 38959?

Greatest common factor (GCF) of 38940 and 38959 is 1.

GCF(38940,38959) = 1

We will now calculate the prime factors of 38940 and 38959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38940 and 38959.

How to find the GCF of 38940 and 38959?

We will first find the prime factorization of 38940 and 38959. After we will calculate the factors of 38940 and 38959 and find the biggest common factor number .

Step-1: Prime Factorization of 38940

Prime factors of 38940 are 2, 3, 5, 11, 59. Prime factorization of 38940 in exponential form is:

38940 = 2² × 3¹ × 5¹ × 11¹ × 59¹

Step-2: Prime Factorization of 38959

Prime factors of 38959 are 38959. Prime factorization of 38959 in exponential form is:

38959 = 38959¹

Step-3: Factors of 38940

List of positive integer factors of 38940 that divides 38940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 59, 60, 66, 110, 118, 132, 165, 177, 220, 236, 295, 330, 354, 590, 649, 660, 708, 885, 1180, 1298, 1770, 1947, 2596, 3245, 3540, 3894, 6490, 7788, 9735, 12980, 19470

Step-4: Factors of 38959

List of positive integer factors of 38959 that divides 38940 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38940 and 38959. The biggest common factor number is the GCF number.
So the greatest common factor 38940 and 38959 is 1.

Also check out the Least Common Multiple of 38940 and 38959