What is the Greatest Common Factor of 83940 and 83955?

Greatest common factor (GCF) of 83940 and 83955 is 15.

GCF(83940,83955) = 15

We will now calculate the prime factors of 83940 and 83955, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83940 and 83955.

How to find the GCF of 83940 and 83955?

We will first find the prime factorization of 83940 and 83955. After we will calculate the factors of 83940 and 83955 and find the biggest common factor number .

Step-1: Prime Factorization of 83940

Prime factors of 83940 are 2, 3, 5, 1399. Prime factorization of 83940 in exponential form is:

83940 = 2² × 3¹ × 5¹ × 1399¹

Step-2: Prime Factorization of 83955

Prime factors of 83955 are 3, 5, 29, 193. Prime factorization of 83955 in exponential form is:

83955 = 3¹ × 5¹ × 29¹ × 193¹

Step-3: Factors of 83940

List of positive integer factors of 83940 that divides 83940 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1399, 2798, 4197, 5596, 6995, 8394, 13990, 16788, 20985, 27980, 41970

Step-4: Factors of 83955

List of positive integer factors of 83955 that divides 83940 without a remainder.

1, 3, 5, 15, 29, 87, 145, 193, 435, 579, 965, 2895, 5597, 16791, 27985

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83940 and 83955. The biggest common factor number is the GCF number.
So the greatest common factor 83940 and 83955 is 15.

Also check out the Least Common Multiple of 83940 and 83955