What is the Greatest Common Factor of 84288 and 84296?

Greatest common factor (GCF) of 84288 and 84296 is 8.

GCF(84288,84296) = 8

We will now calculate the prime factors of 84288 and 84296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84288 and 84296.

How to find the GCF of 84288 and 84296?

We will first find the prime factorization of 84288 and 84296. After we will calculate the factors of 84288 and 84296 and find the biggest common factor number .

Step-1: Prime Factorization of 84288

Prime factors of 84288 are 2, 3, 439. Prime factorization of 84288 in exponential form is:

84288 = 2⁶ × 3¹ × 439¹

Step-2: Prime Factorization of 84296

Prime factors of 84296 are 2, 41, 257. Prime factorization of 84296 in exponential form is:

84296 = 2³ × 41¹ × 257¹

Step-3: Factors of 84288

List of positive integer factors of 84288 that divides 84288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192, 439, 878, 1317, 1756, 2634, 3512, 5268, 7024, 10536, 14048, 21072, 28096, 42144

Step-4: Factors of 84296

List of positive integer factors of 84296 that divides 84288 without a remainder.

1, 2, 4, 8, 41, 82, 164, 257, 328, 514, 1028, 2056, 10537, 21074, 42148

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84288 and 84296. The biggest common factor number is the GCF number.
So the greatest common factor 84288 and 84296 is 8.

Also check out the Least Common Multiple of 84288 and 84296