What is the Greatest Common Factor of 80610 and 80616?

Greatest common factor (GCF) of 80610 and 80616 is 6.

GCF(80610,80616) = 6

We will now calculate the prime factors of 80610 and 80616, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80610 and 80616.

How to find the GCF of 80610 and 80616?

We will first find the prime factorization of 80610 and 80616. After we will calculate the factors of 80610 and 80616 and find the biggest common factor number .

Step-1: Prime Factorization of 80610

Prime factors of 80610 are 2, 3, 5, 2687. Prime factorization of 80610 in exponential form is:

80610 = 2¹ × 3¹ × 5¹ × 2687¹

Step-2: Prime Factorization of 80616

Prime factors of 80616 are 2, 3, 3359. Prime factorization of 80616 in exponential form is:

80616 = 2³ × 3¹ × 3359¹

Step-3: Factors of 80610

List of positive integer factors of 80610 that divides 80610 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2687, 5374, 8061, 13435, 16122, 26870, 40305

Step-4: Factors of 80616

List of positive integer factors of 80616 that divides 80610 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3359, 6718, 10077, 13436, 20154, 26872, 40308

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80610 and 80616. The biggest common factor number is the GCF number.
So the greatest common factor 80610 and 80616 is 6.

Also check out the Least Common Multiple of 80610 and 80616