What is the Greatest Common Factor of 82560 and 82570?

Greatest common factor (GCF) of 82560 and 82570 is 10.

GCF(82560,82570) = 10

We will now calculate the prime factors of 82560 and 82570, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82560 and 82570.

How to find the GCF of 82560 and 82570?

We will first find the prime factorization of 82560 and 82570. After we will calculate the factors of 82560 and 82570 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 82570

Prime factors of 82570 are 2, 5, 23, 359. Prime factorization of 82570 in exponential form is:

82570 = 2¹ × 5¹ × 23¹ × 359¹

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 82570

List of positive integer factors of 82570 that divides 82560 without a remainder.

1, 2, 5, 10, 23, 46, 115, 230, 359, 718, 1795, 3590, 8257, 16514, 41285

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82560 and 82570. The biggest common factor number is the GCF number.
So the greatest common factor 82560 and 82570 is 10.

Also check out the Least Common Multiple of 82560 and 82570