What is the Greatest Common Factor of 80640 and 80650?

Greatest common factor (GCF) of 80640 and 80650 is 10.

GCF(80640,80650) = 10

We will now calculate the prime factors of 80640 and 80650, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80640 and 80650.

How to find the GCF of 80640 and 80650?

We will first find the prime factorization of 80640 and 80650. After we will calculate the factors of 80640 and 80650 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 80650

Prime factors of 80650 are 2, 5, 1613. Prime factorization of 80650 in exponential form is:

80650 = 2¹ × 5² × 1613¹

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 80650

List of positive integer factors of 80650 that divides 80640 without a remainder.

1, 2, 5, 10, 25, 50, 1613, 3226, 8065, 16130, 40325

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80640 and 80650. The biggest common factor number is the GCF number.
So the greatest common factor 80640 and 80650 is 10.

Also check out the Least Common Multiple of 80640 and 80650