What is the Greatest Common Factor of 80649 and 80659?

Greatest common factor (GCF) of 80649 and 80659 is 1.

GCF(80649,80659) = 1

We will now calculate the prime factors of 80649 and 80659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80649 and 80659.

How to find the GCF of 80649 and 80659?

We will first find the prime factorization of 80649 and 80659. After we will calculate the factors of 80649 and 80659 and find the biggest common factor number .

Step-1: Prime Factorization of 80649

Prime factors of 80649 are 3, 29, 103. Prime factorization of 80649 in exponential form is:

80649 = 3³ × 29¹ × 103¹

Step-2: Prime Factorization of 80659

Prime factors of 80659 are 79, 1021. Prime factorization of 80659 in exponential form is:

80659 = 79¹ × 1021¹

Step-3: Factors of 80649

List of positive integer factors of 80649 that divides 80649 without a remainder.

1, 3, 9, 27, 29, 87, 103, 261, 309, 783, 927, 2781, 2987, 8961, 26883

Step-4: Factors of 80659

List of positive integer factors of 80659 that divides 80649 without a remainder.

1, 79, 1021

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80649 and 80659. The biggest common factor number is the GCF number.
So the greatest common factor 80649 and 80659 is 1.

Also check out the Least Common Multiple of 80649 and 80659