What is the Greatest Common Factor of 82704 and 82720?

Greatest common factor (GCF) of 82704 and 82720 is 16.

GCF(82704,82720) = 16

We will now calculate the prime factors of 82704 and 82720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82704 and 82720.

How to find the GCF of 82704 and 82720?

We will first find the prime factorization of 82704 and 82720. After we will calculate the factors of 82704 and 82720 and find the biggest common factor number .

Step-1: Prime Factorization of 82704

Prime factors of 82704 are 2, 3, 1723. Prime factorization of 82704 in exponential form is:

82704 = 2⁴ × 3¹ × 1723¹

Step-2: Prime Factorization of 82720

Prime factors of 82720 are 2, 5, 11, 47. Prime factorization of 82720 in exponential form is:

82720 = 2⁵ × 5¹ × 11¹ × 47¹

Step-3: Factors of 82704

List of positive integer factors of 82704 that divides 82704 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1723, 3446, 5169, 6892, 10338, 13784, 20676, 27568, 41352

Step-4: Factors of 82720

List of positive integer factors of 82720 that divides 82704 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 32, 40, 44, 47, 55, 80, 88, 94, 110, 160, 176, 188, 220, 235, 352, 376, 440, 470, 517, 752, 880, 940, 1034, 1504, 1760, 1880, 2068, 2585, 3760, 4136, 5170, 7520, 8272, 10340, 16544, 20680, 41360

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82704 and 82720. The biggest common factor number is the GCF number.
So the greatest common factor 82704 and 82720 is 16.

Also check out the Least Common Multiple of 82704 and 82720