What is the Greatest Common Factor of 83720 and 83728?

Greatest common factor (GCF) of 83720 and 83728 is 8.

GCF(83720,83728) = 8

We will now calculate the prime factors of 83720 and 83728, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83720 and 83728.

How to find the GCF of 83720 and 83728?

We will first find the prime factorization of 83720 and 83728. After we will calculate the factors of 83720 and 83728 and find the biggest common factor number .

Step-1: Prime Factorization of 83720

Prime factors of 83720 are 2, 5, 7, 13, 23. Prime factorization of 83720 in exponential form is:

83720 = 2³ × 5¹ × 7¹ × 13¹ × 23¹

Step-2: Prime Factorization of 83728

Prime factors of 83728 are 2, 5233. Prime factorization of 83728 in exponential form is:

83728 = 2⁴ × 5233¹

Step-3: Factors of 83720

List of positive integer factors of 83720 that divides 83720 without a remainder.

1, 2, 4, 5, 7, 8, 10, 13, 14, 20, 23, 26, 28, 35, 40, 46, 52, 56, 65, 70, 91, 92, 104, 115, 130, 140, 161, 182, 184, 230, 260, 280, 299, 322, 364, 455, 460, 520, 598, 644, 728, 805, 910, 920, 1196, 1288, 1495, 1610, 1820, 2093, 2392, 2990, 3220, 3640, 4186, 5980, 6440, 8372, 10465, 11960, 16744, 20930, 41860

Step-4: Factors of 83728

List of positive integer factors of 83728 that divides 83720 without a remainder.

1, 2, 4, 8, 16, 5233, 10466, 20932, 41864

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83720 and 83728. The biggest common factor number is the GCF number.
So the greatest common factor 83720 and 83728 is 8.

Also check out the Least Common Multiple of 83720 and 83728