What is the Greatest Common Factor of 80640 and 80656?

Greatest common factor (GCF) of 80640 and 80656 is 16.

GCF(80640,80656) = 16

We will now calculate the prime factors of 80640 and 80656, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80640 and 80656.

How to find the GCF of 80640 and 80656?

We will first find the prime factorization of 80640 and 80656. After we will calculate the factors of 80640 and 80656 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 80656

Prime factors of 80656 are 2, 71. Prime factorization of 80656 in exponential form is:

80656 = 2⁴ × 71²

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 80656

List of positive integer factors of 80656 that divides 80640 without a remainder.

1, 2, 4, 8, 16, 71, 142, 284, 568, 1136, 5041, 10082, 20164, 40328

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80640 and 80656. The biggest common factor number is the GCF number.
So the greatest common factor 80640 and 80656 is 16.

Also check out the Least Common Multiple of 80640 and 80656