What is the Greatest Common Factor of 80649 and 80657?

Greatest common factor (GCF) of 80649 and 80657 is 1.

GCF(80649,80657) = 1

We will now calculate the prime factors of 80649 and 80657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80649 and 80657.

How to find the GCF of 80649 and 80657?

We will first find the prime factorization of 80649 and 80657. After we will calculate the factors of 80649 and 80657 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 80657

Prime factors of 80657 are 80657. Prime factorization of 80657 in exponential form is:

80657 = 80657¹

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 80657

List of positive integer factors of 80657 that divides 80649 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80649 and 80657. The biggest common factor number is the GCF number.
So the greatest common factor 80649 and 80657 is 1.

Also check out the Least Common Multiple of 80649 and 80657