What is the Greatest Common Factor of 80636 and 80655?

Greatest common factor (GCF) of 80636 and 80655 is 19.

GCF(80636,80655) = 19

We will now calculate the prime factors of 80636 and 80655, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80636 and 80655.

How to find the GCF of 80636 and 80655?

We will first find the prime factorization of 80636 and 80655. After we will calculate the factors of 80636 and 80655 and find the biggest common factor number .

Step-1: Prime Factorization of 80636

Prime factors of 80636 are 2, 19, 1061. Prime factorization of 80636 in exponential form is:

80636 = 2² × 19¹ × 1061¹

Step-2: Prime Factorization of 80655

Prime factors of 80655 are 3, 5, 19, 283. Prime factorization of 80655 in exponential form is:

80655 = 3¹ × 5¹ × 19¹ × 283¹

Step-3: Factors of 80636

List of positive integer factors of 80636 that divides 80636 without a remainder.

1, 2, 4, 19, 38, 76, 1061, 2122, 4244, 20159, 40318

Step-4: Factors of 80655

List of positive integer factors of 80655 that divides 80636 without a remainder.

1, 3, 5, 15, 19, 57, 95, 283, 285, 849, 1415, 4245, 5377, 16131, 26885

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80636 and 80655. The biggest common factor number is the GCF number.
So the greatest common factor 80636 and 80655 is 19.

Also check out the Least Common Multiple of 80636 and 80655