What is the Greatest Common Factor of 80109 and 80113?

Greatest common factor (GCF) of 80109 and 80113 is 1.

GCF(80109,80113) = 1

We will now calculate the prime factors of 80109 and 80113, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80109 and 80113.

How to find the GCF of 80109 and 80113?

We will first find the prime factorization of 80109 and 80113. After we will calculate the factors of 80109 and 80113 and find the biggest common factor number .

Step-1: Prime Factorization of 80109

Prime factors of 80109 are 3, 23, 43. Prime factorization of 80109 in exponential form is:

80109 = 3⁴ × 23¹ × 43¹

Step-2: Prime Factorization of 80113

Prime factors of 80113 are 11, 7283. Prime factorization of 80113 in exponential form is:

80113 = 11¹ × 7283¹

Step-3: Factors of 80109

List of positive integer factors of 80109 that divides 80109 without a remainder.

1, 3, 9, 23, 27, 43, 69, 81, 129, 207, 387, 621, 989, 1161, 1863, 2967, 3483, 8901, 26703

Step-4: Factors of 80113

List of positive integer factors of 80113 that divides 80109 without a remainder.

1, 11, 7283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80109 and 80113. The biggest common factor number is the GCF number.
So the greatest common factor 80109 and 80113 is 1.

Also check out the Least Common Multiple of 80109 and 80113