What is the Greatest Common Factor of 83865 and 83880?

Greatest common factor (GCF) of 83865 and 83880 is 15.

GCF(83865,83880) = 15

We will now calculate the prime factors of 83865 and 83880, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83865 and 83880.

How to find the GCF of 83865 and 83880?

We will first find the prime factorization of 83865 and 83880. After we will calculate the factors of 83865 and 83880 and find the biggest common factor number .

Step-1: Prime Factorization of 83865

Prime factors of 83865 are 3, 5, 5591. Prime factorization of 83865 in exponential form is:

83865 = 3¹ × 5¹ × 5591¹

Step-2: Prime Factorization of 83880

Prime factors of 83880 are 2, 3, 5, 233. Prime factorization of 83880 in exponential form is:

83880 = 2³ × 3² × 5¹ × 233¹

Step-3: Factors of 83865

List of positive integer factors of 83865 that divides 83865 without a remainder.

1, 3, 5, 15, 5591, 16773, 27955

Step-4: Factors of 83880

List of positive integer factors of 83880 that divides 83865 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 233, 360, 466, 699, 932, 1165, 1398, 1864, 2097, 2330, 2796, 3495, 4194, 4660, 5592, 6990, 8388, 9320, 10485, 13980, 16776, 20970, 27960, 41940

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83865 and 83880. The biggest common factor number is the GCF number.
So the greatest common factor 83865 and 83880 is 15.

Also check out the Least Common Multiple of 83865 and 83880