What is the Greatest Common Factor of 83775 and 83790?

Greatest common factor (GCF) of 83775 and 83790 is 15.

GCF(83775,83790) = 15

We will now calculate the prime factors of 83775 and 83790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83775 and 83790.

How to find the GCF of 83775 and 83790?

We will first find the prime factorization of 83775 and 83790. After we will calculate the factors of 83775 and 83790 and find the biggest common factor number .

Step-1: Prime Factorization of 83775

Prime factors of 83775 are 3, 5, 1117. Prime factorization of 83775 in exponential form is:

83775 = 3¹ × 5² × 1117¹

Step-2: Prime Factorization of 83790

Prime factors of 83790 are 2, 3, 5, 7, 19. Prime factorization of 83790 in exponential form is:

83790 = 2¹ × 3² × 5¹ × 7² × 19¹

Step-3: Factors of 83775

List of positive integer factors of 83775 that divides 83775 without a remainder.

1, 3, 5, 15, 25, 75, 1117, 3351, 5585, 16755, 27925

Step-4: Factors of 83790

List of positive integer factors of 83790 that divides 83775 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 30, 35, 38, 42, 45, 49, 57, 63, 70, 90, 95, 98, 105, 114, 126, 133, 147, 171, 190, 210, 245, 266, 285, 294, 315, 342, 399, 441, 490, 570, 630, 665, 735, 798, 855, 882, 931, 1197, 1330, 1470, 1710, 1862, 1995, 2205, 2394, 2793, 3990, 4410, 4655, 5586, 5985, 8379, 9310, 11970, 13965, 16758, 27930, 41895

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83775 and 83790. The biggest common factor number is the GCF number.
So the greatest common factor 83775 and 83790 is 15.

Also check out the Least Common Multiple of 83775 and 83790