What is the Greatest Common Factor of 83783 and 83790?

Greatest common factor (GCF) of 83783 and 83790 is 7.

GCF(83783,83790) = 7

We will now calculate the prime factors of 83783 and 83790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83783 and 83790.

How to find the GCF of 83783 and 83790?

We will first find the prime factorization of 83783 and 83790. After we will calculate the factors of 83783 and 83790 and find the biggest common factor number .

Step-1: Prime Factorization of 83783

Prime factors of 83783 are 7, 11969. Prime factorization of 83783 in exponential form is:

83783 = 7¹ × 11969¹

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 83783

List of positive integer factors of 83783 that divides 83783 without a remainder.

1, 7, 11969

Step-4: Factors of 83790

List of positive integer factors of 83790 that divides 83783 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 83783 and 83790. The biggest common factor number is the GCF number.
So the greatest common factor 83783 and 83790 is 7.

Also check out the Least Common Multiple of 83783 and 83790