What is the Greatest Common Factor of 82546 and 82560?

Greatest common factor (GCF) of 82546 and 82560 is 2.

GCF(82546,82560) = 2

We will now calculate the prime factors of 82546 and 82560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82546 and 82560.

How to find the GCF of 82546 and 82560?

We will first find the prime factorization of 82546 and 82560. After we will calculate the factors of 82546 and 82560 and find the biggest common factor number .

Step-1: Prime Factorization of 82546

Prime factors of 82546 are 2, 149, 277. Prime factorization of 82546 in exponential form is:

82546 = 2¹ × 149¹ × 277¹

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 82546

List of positive integer factors of 82546 that divides 82546 without a remainder.

1, 2, 149, 277, 298, 554, 41273

Step-4: Factors of 82560

List of positive integer factors of 82560 that divides 82546 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 82546 and 82560. The biggest common factor number is the GCF number.
So the greatest common factor 82546 and 82560 is 2.

Also check out the Least Common Multiple of 82546 and 82560