What is the Greatest Common Factor of 80785 and 80790?

Greatest common factor (GCF) of 80785 and 80790 is 5.

GCF(80785,80790) = 5

We will now calculate the prime factors of 80785 and 80790, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80785 and 80790.

How to find the GCF of 80785 and 80790?

We will first find the prime factorization of 80785 and 80790. After we will calculate the factors of 80785 and 80790 and find the biggest common factor number .

Step-1: Prime Factorization of 80785

Prime factors of 80785 are 5, 107, 151. Prime factorization of 80785 in exponential form is:

80785 = 5¹ × 107¹ × 151¹

Step-2: Prime Factorization of 80790

Prime factors of 80790 are 2, 3, 5, 2693. Prime factorization of 80790 in exponential form is:

80790 = 2¹ × 3¹ × 5¹ × 2693¹

Step-3: Factors of 80785

List of positive integer factors of 80785 that divides 80785 without a remainder.

1, 5, 107, 151, 535, 755, 16157

Step-4: Factors of 80790

List of positive integer factors of 80790 that divides 80785 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2693, 5386, 8079, 13465, 16158, 26930, 40395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80785 and 80790. The biggest common factor number is the GCF number.
So the greatest common factor 80785 and 80790 is 5.

Also check out the Least Common Multiple of 80785 and 80790