What is the Greatest Common Factor of 80640 and 80649?

Greatest common factor (GCF) of 80640 and 80649 is 9.

GCF(80640,80649) = 9

We will now calculate the prime factors of 80640 and 80649, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80640 and 80649.

How to find the GCF of 80640 and 80649?

We will first find the prime factorization of 80640 and 80649. After we will calculate the factors of 80640 and 80649 and find the biggest common factor number .

Step-1: Prime Factorization of 80640

Prime factors of 80640 are 2, 3, 5, 7. Prime factorization of 80640 in exponential form is:

80640 = 2⁸ × 3² × 5¹ × 7¹

Step-2: 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-3: Factors of 80640

List of positive integer factors of 80640 that divides 80640 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 24, 28, 30, 32, 35, 36, 40, 42, 45, 48, 56, 60, 63, 64, 70, 72, 80, 84, 90, 96, 105, 112, 120, 126, 128, 140, 144, 160, 168, 180, 192, 210, 224, 240, 252, 256, 280, 288, 315, 320, 336, 360, 384, 420, 448, 480, 504, 560, 576, 630, 640, 672, 720, 768, 840, 896, 960, 1008, 1120, 1152, 1260, 1280, 1344, 1440, 1680, 1792, 1920, 2016, 2240, 2304, 2520, 2688, 2880, 3360, 3840, 4032, 4480, 5040, 5376, 5760, 6720, 8064, 8960, 10080, 11520, 13440, 16128, 20160, 26880, 40320

Step-4: Factors of 80649

List of positive integer factors of 80649 that divides 80640 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80640 and 80649. The biggest common factor number is the GCF number.
So the greatest common factor 80640 and 80649 is 9.

Also check out the Least Common Multiple of 80640 and 80649