What is the Greatest Common Factor of 80350 and 80368?

Greatest common factor (GCF) of 80350 and 80368 is 2.

GCF(80350,80368) = 2

We will now calculate the prime factors of 80350 and 80368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80350 and 80368.

How to find the GCF of 80350 and 80368?

We will first find the prime factorization of 80350 and 80368. After we will calculate the factors of 80350 and 80368 and find the biggest common factor number .

Step-1: Prime Factorization of 80350

Prime factors of 80350 are 2, 5, 1607. Prime factorization of 80350 in exponential form is:

80350 = 2¹ × 5² × 1607¹

Step-2: Prime Factorization of 80368

Prime factors of 80368 are 2, 5023. Prime factorization of 80368 in exponential form is:

80368 = 2⁴ × 5023¹

Step-3: Factors of 80350

List of positive integer factors of 80350 that divides 80350 without a remainder.

1, 2, 5, 10, 25, 50, 1607, 3214, 8035, 16070, 40175

Step-4: Factors of 80368

List of positive integer factors of 80368 that divides 80350 without a remainder.

1, 2, 4, 8, 16, 5023, 10046, 20092, 40184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80350 and 80368. The biggest common factor number is the GCF number.
So the greatest common factor 80350 and 80368 is 2.

Also check out the Least Common Multiple of 80350 and 80368