What is the Greatest Common Factor of 80790 and 80799?

Greatest common factor (GCF) of 80790 and 80799 is 3.

GCF(80790,80799) = 3

We will now calculate the prime factors of 80790 and 80799, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80790 and 80799.

How to find the GCF of 80790 and 80799?

We will first find the prime factorization of 80790 and 80799. After we will calculate the factors of 80790 and 80799 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80799

Prime factors of 80799 are 3, 23, 1171. Prime factorization of 80799 in exponential form is:

80799 = 3¹ × 23¹ × 1171¹

Step-3: Factors of 80790

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

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

Step-4: Factors of 80799

List of positive integer factors of 80799 that divides 80790 without a remainder.

1, 3, 23, 69, 1171, 3513, 26933

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80790 and 80799. The biggest common factor number is the GCF number.
So the greatest common factor 80790 and 80799 is 3.

Also check out the Least Common Multiple of 80790 and 80799