What is the Greatest Common Factor of 83790 and 83810?

Greatest common factor (GCF) of 83790 and 83810 is 10.

GCF(83790,83810) = 10

We will now calculate the prime factors of 83790 and 83810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83790 and 83810.

How to find the GCF of 83790 and 83810?

We will first find the prime factorization of 83790 and 83810. After we will calculate the factors of 83790 and 83810 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83810

Prime factors of 83810 are 2, 5, 17, 29. Prime factorization of 83810 in exponential form is:

83810 = 2¹ × 5¹ × 17² × 29¹

Step-3: Factors of 83790

List of positive integer factors of 83790 that divides 83790 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

Step-4: Factors of 83810

List of positive integer factors of 83810 that divides 83790 without a remainder.

1, 2, 5, 10, 17, 29, 34, 58, 85, 145, 170, 289, 290, 493, 578, 986, 1445, 2465, 2890, 4930, 8381, 16762, 41905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83790 and 83810. The biggest common factor number is the GCF number.
So the greatest common factor 83790 and 83810 is 10.

Also check out the Least Common Multiple of 83790 and 83810