What is the Greatest Common Factor of 83790 and 83807?

Greatest common factor (GCF) of 83790 and 83807 is 1.

GCF(83790,83807) = 1

We will now calculate the prime factors of 83790 and 83807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83790 and 83807.

How to find the GCF of 83790 and 83807?

We will first find the prime factorization of 83790 and 83807. After we will calculate the factors of 83790 and 83807 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 83807

Prime factors of 83807 are 43, 1949. Prime factorization of 83807 in exponential form is:

83807 = 43¹ × 1949¹

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 83807

List of positive integer factors of 83807 that divides 83790 without a remainder.

1, 43, 1949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83790 and 83807. The biggest common factor number is the GCF number.
So the greatest common factor 83790 and 83807 is 1.

Also check out the Least Common Multiple of 83790 and 83807