What is the Greatest Common Factor of 82540 and 82560?

Greatest common factor (GCF) of 82540 and 82560 is 20.

GCF(82540,82560) = 20

We will now calculate the prime factors of 82540 and 82560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82540 and 82560.

How to find the GCF of 82540 and 82560?

We will first find the prime factorization of 82540 and 82560. After we will calculate the factors of 82540 and 82560 and find the biggest common factor number .

Step-1: Prime Factorization of 82540

Prime factors of 82540 are 2, 5, 4127. Prime factorization of 82540 in exponential form is:

82540 = 2² × 5¹ × 4127¹

Step-2: 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-3: Factors of 82540

List of positive integer factors of 82540 that divides 82540 without a remainder.

1, 2, 4, 5, 10, 20, 4127, 8254, 16508, 20635, 41270

Step-4: Factors of 82560

List of positive integer factors of 82560 that divides 82540 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82540 and 82560. The biggest common factor number is the GCF number.
So the greatest common factor 82540 and 82560 is 20.

Also check out the Least Common Multiple of 82540 and 82560