What is the Greatest Common Factor of 82560 and 82578?

Greatest common factor (GCF) of 82560 and 82578 is 6.

GCF(82560,82578) = 6

We will now calculate the prime factors of 82560 and 82578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82560 and 82578.

How to find the GCF of 82560 and 82578?

We will first find the prime factorization of 82560 and 82578. After we will calculate the factors of 82560 and 82578 and find the biggest common factor number .

Step-1: Prime Factorization of 82560

Prime factors of 82560 are 2, 3, 5, 43. Prime factorization of 82560 in exponential form is:

82560 = 2⁷ × 3¹ × 5¹ × 43¹

Step-2: Prime Factorization of 82578

Prime factors of 82578 are 2, 3, 13763. Prime factorization of 82578 in exponential form is:

82578 = 2¹ × 3¹ × 13763¹

Step-3: Factors of 82560

List of positive integer factors of 82560 that divides 82560 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 43, 48, 60, 64, 80, 86, 96, 120, 128, 129, 160, 172, 192, 215, 240, 258, 320, 344, 384, 430, 480, 516, 640, 645, 688, 860, 960, 1032, 1290, 1376, 1720, 1920, 2064, 2580, 2752, 3440, 4128, 5160, 5504, 6880, 8256, 10320, 13760, 16512, 20640, 27520, 41280

Step-4: Factors of 82578

List of positive integer factors of 82578 that divides 82560 without a remainder.

1, 2, 3, 6, 13763, 27526, 41289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82560 and 82578. The biggest common factor number is the GCF number.
So the greatest common factor 82560 and 82578 is 6.

Also check out the Least Common Multiple of 82560 and 82578