What is the Greatest Common Factor of 80618 and 80636?

Greatest common factor (GCF) of 80618 and 80636 is 2.

GCF(80618,80636) = 2

We will now calculate the prime factors of 80618 and 80636, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80618 and 80636.

How to find the GCF of 80618 and 80636?

We will first find the prime factorization of 80618 and 80636. After we will calculate the factors of 80618 and 80636 and find the biggest common factor number .

Step-1: Prime Factorization of 80618

Prime factors of 80618 are 2, 173, 233. Prime factorization of 80618 in exponential form is:

80618 = 2¹ × 173¹ × 233¹

Step-2: 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-3: Factors of 80618

List of positive integer factors of 80618 that divides 80618 without a remainder.

1, 2, 173, 233, 346, 466, 40309

Step-4: Factors of 80636

List of positive integer factors of 80636 that divides 80618 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80618 and 80636. The biggest common factor number is the GCF number.
So the greatest common factor 80618 and 80636 is 2.

Also check out the Least Common Multiple of 80618 and 80636