What is the Greatest Common Factor of 82320 and 82336?

Greatest common factor (GCF) of 82320 and 82336 is 16.

GCF(82320,82336) = 16

We will now calculate the prime factors of 82320 and 82336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82320 and 82336.

How to find the GCF of 82320 and 82336?

We will first find the prime factorization of 82320 and 82336. After we will calculate the factors of 82320 and 82336 and find the biggest common factor number .

Step-1: Prime Factorization of 82320

Prime factors of 82320 are 2, 3, 5, 7. Prime factorization of 82320 in exponential form is:

82320 = 2⁴ × 3¹ × 5¹ × 7³

Step-2: Prime Factorization of 82336

Prime factors of 82336 are 2, 31, 83. Prime factorization of 82336 in exponential form is:

82336 = 2⁵ × 31¹ × 83¹

Step-3: Factors of 82320

List of positive integer factors of 82320 that divides 82320 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 49, 56, 60, 70, 80, 84, 98, 105, 112, 120, 140, 147, 168, 196, 210, 240, 245, 280, 294, 336, 343, 392, 420, 490, 560, 588, 686, 735, 784, 840, 980, 1029, 1176, 1372, 1470, 1680, 1715, 1960, 2058, 2352, 2744, 2940, 3430, 3920, 4116, 5145, 5488, 5880, 6860, 8232, 10290, 11760, 13720, 16464, 20580, 27440, 41160

Step-4: Factors of 82336

List of positive integer factors of 82336 that divides 82320 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 83, 124, 166, 248, 332, 496, 664, 992, 1328, 2573, 2656, 5146, 10292, 20584, 41168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82320 and 82336. The biggest common factor number is the GCF number.
So the greatest common factor 82320 and 82336 is 16.

Also check out the Least Common Multiple of 82320 and 82336