What is the Greatest Common Factor of 80109 and 80118?

Greatest common factor (GCF) of 80109 and 80118 is 9.

GCF(80109,80118) = 9

We will now calculate the prime factors of 80109 and 80118, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80109 and 80118.

How to find the GCF of 80109 and 80118?

We will first find the prime factorization of 80109 and 80118. After we will calculate the factors of 80109 and 80118 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 80118

Prime factors of 80118 are 2, 3, 4451. Prime factorization of 80118 in exponential form is:

80118 = 2¹ × 3² × 4451¹

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 80118

List of positive integer factors of 80118 that divides 80109 without a remainder.

1, 2, 3, 6, 9, 18, 4451, 8902, 13353, 26706, 40059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80109 and 80118. The biggest common factor number is the GCF number.
So the greatest common factor 80109 and 80118 is 9.

Also check out the Least Common Multiple of 80109 and 80118