What is the Greatest Common Factor of 83785 and 83798?

Greatest common factor (GCF) of 83785 and 83798 is 13.

GCF(83785,83798) = 13

We will now calculate the prime factors of 83785 and 83798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83785 and 83798.

How to find the GCF of 83785 and 83798?

We will first find the prime factorization of 83785 and 83798. After we will calculate the factors of 83785 and 83798 and find the biggest common factor number .

Step-1: Prime Factorization of 83785

Prime factors of 83785 are 5, 13, 1289. Prime factorization of 83785 in exponential form is:

83785 = 5¹ × 13¹ × 1289¹

Step-2: Prime Factorization of 83798

Prime factors of 83798 are 2, 11, 13, 293. Prime factorization of 83798 in exponential form is:

83798 = 2¹ × 11¹ × 13¹ × 293¹

Step-3: Factors of 83785

List of positive integer factors of 83785 that divides 83785 without a remainder.

1, 5, 13, 65, 1289, 6445, 16757

Step-4: Factors of 83798

List of positive integer factors of 83798 that divides 83785 without a remainder.

1, 2, 11, 13, 22, 26, 143, 286, 293, 586, 3223, 3809, 6446, 7618, 41899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83785 and 83798. The biggest common factor number is the GCF number.
So the greatest common factor 83785 and 83798 is 13.

Also check out the Least Common Multiple of 83785 and 83798