What is the Greatest Common Factor of 80655 and 80675?

Greatest common factor (GCF) of 80655 and 80675 is 5.

GCF(80655,80675) = 5

We will now calculate the prime factors of 80655 and 80675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80655 and 80675.

How to find the GCF of 80655 and 80675?

We will first find the prime factorization of 80655 and 80675. After we will calculate the factors of 80655 and 80675 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 80675

Prime factors of 80675 are 5, 7, 461. Prime factorization of 80675 in exponential form is:

80675 = 5² × 7¹ × 461¹

Step-3: Factors of 80655

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

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

Step-4: Factors of 80675

List of positive integer factors of 80675 that divides 80655 without a remainder.

1, 5, 7, 25, 35, 175, 461, 2305, 3227, 11525, 16135

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80655 and 80675. The biggest common factor number is the GCF number.
So the greatest common factor 80655 and 80675 is 5.

Also check out the Least Common Multiple of 80655 and 80675