What is the Greatest Common Factor of 80640 and 80653?

Greatest common factor (GCF) of 80640 and 80653 is 1.

GCF(80640,80653) = 1

We will now calculate the prime factors of 80640 and 80653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80640 and 80653.

How to find the GCF of 80640 and 80653?

We will first find the prime factorization of 80640 and 80653. After we will calculate the factors of 80640 and 80653 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 80653

Prime factors of 80653 are 59, 1367. Prime factorization of 80653 in exponential form is:

80653 = 59¹ × 1367¹

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 80653

List of positive integer factors of 80653 that divides 80640 without a remainder.

1, 59, 1367

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80640 and 80653. The biggest common factor number is the GCF number.
So the greatest common factor 80640 and 80653 is 1.

Also check out the Least Common Multiple of 80640 and 80653