What is the Greatest Common Factor of 84200 and 84216?

Greatest common factor (GCF) of 84200 and 84216 is 8.

GCF(84200,84216) = 8

We will now calculate the prime factors of 84200 and 84216, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84200 and 84216.

How to find the GCF of 84200 and 84216?

We will first find the prime factorization of 84200 and 84216. After we will calculate the factors of 84200 and 84216 and find the biggest common factor number .

Step-1: Prime Factorization of 84200

Prime factors of 84200 are 2, 5, 421. Prime factorization of 84200 in exponential form is:

84200 = 2³ × 5² × 421¹

Step-2: Prime Factorization of 84216

Prime factors of 84216 are 2, 3, 11, 29. Prime factorization of 84216 in exponential form is:

84216 = 2³ × 3¹ × 11² × 29¹

Step-3: Factors of 84200

List of positive integer factors of 84200 that divides 84200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200, 421, 842, 1684, 2105, 3368, 4210, 8420, 10525, 16840, 21050, 42100

Step-4: Factors of 84216

List of positive integer factors of 84216 that divides 84200 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 29, 33, 44, 58, 66, 87, 88, 116, 121, 132, 174, 232, 242, 264, 319, 348, 363, 484, 638, 696, 726, 957, 968, 1276, 1452, 1914, 2552, 2904, 3509, 3828, 7018, 7656, 10527, 14036, 21054, 28072, 42108

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84200 and 84216. The biggest common factor number is the GCF number.
So the greatest common factor 84200 and 84216 is 8.

Also check out the Least Common Multiple of 84200 and 84216