What is the Greatest Common Factor of 80649 and 80665?

Greatest common factor (GCF) of 80649 and 80665 is 1.

GCF(80649,80665) = 1

We will now calculate the prime factors of 80649 and 80665, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80649 and 80665.

How to find the GCF of 80649 and 80665?

We will first find the prime factorization of 80649 and 80665. After we will calculate the factors of 80649 and 80665 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 80665

Prime factors of 80665 are 5, 13, 17, 73. Prime factorization of 80665 in exponential form is:

80665 = 5¹ × 13¹ × 17¹ × 73¹

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 80665

List of positive integer factors of 80665 that divides 80649 without a remainder.

1, 5, 13, 17, 65, 73, 85, 221, 365, 949, 1105, 1241, 4745, 6205, 16133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80649 and 80665. The biggest common factor number is the GCF number.
So the greatest common factor 80649 and 80665 is 1.

Also check out the Least Common Multiple of 80649 and 80665