What is the Greatest Common Factor of 80640 and 80654?

Greatest common factor (GCF) of 80640 and 80654 is 14.

GCF(80640,80654) = 14

We will now calculate the prime factors of 80640 and 80654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80640 and 80654.

How to find the GCF of 80640 and 80654?

We will first find the prime factorization of 80640 and 80654. After we will calculate the factors of 80640 and 80654 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 80654

Prime factors of 80654 are 2, 7, 823. Prime factorization of 80654 in exponential form is:

80654 = 2¹ × 7² × 823¹

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 80654

List of positive integer factors of 80654 that divides 80640 without a remainder.

1, 2, 7, 14, 49, 98, 823, 1646, 5761, 11522, 40327

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80640 and 80654. The biggest common factor number is the GCF number.
So the greatest common factor 80640 and 80654 is 14.

Also check out the Least Common Multiple of 80640 and 80654