What is the Greatest Common Factor of 80626 and 80640?

Greatest common factor (GCF) of 80626 and 80640 is 14.

GCF(80626,80640) = 14

We will now calculate the prime factors of 80626 and 80640, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80626 and 80640.

How to find the GCF of 80626 and 80640?

We will first find the prime factorization of 80626 and 80640. After we will calculate the factors of 80626 and 80640 and find the biggest common factor number .

Step-1: Prime Factorization of 80626

Prime factors of 80626 are 2, 7, 13, 443. Prime factorization of 80626 in exponential form is:

80626 = 2¹ × 7¹ × 13¹ × 443¹

Step-2: 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-3: Factors of 80626

List of positive integer factors of 80626 that divides 80626 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 443, 886, 3101, 5759, 6202, 11518, 40313

Step-4: Factors of 80640

List of positive integer factors of 80640 that divides 80626 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80626 and 80640. The biggest common factor number is the GCF number.
So the greatest common factor 80626 and 80640 is 14.

Also check out the Least Common Multiple of 80626 and 80640