What is the Greatest Common Factor of 84216 and 84229?

Greatest common factor (GCF) of 84216 and 84229 is 1.

GCF(84216,84229) = 1

We will now calculate the prime factors of 84216 and 84229, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84216 and 84229.

How to find the GCF of 84216 and 84229?

We will first find the prime factorization of 84216 and 84229. After we will calculate the factors of 84216 and 84229 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 84229

Prime factors of 84229 are 84229. Prime factorization of 84229 in exponential form is:

84229 = 84229¹

Step-3: Factors of 84216

List of positive integer factors of 84216 that divides 84216 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

Step-4: Factors of 84229

List of positive integer factors of 84229 that divides 84216 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84216 and 84229. The biggest common factor number is the GCF number.
So the greatest common factor 84216 and 84229 is 1.

Also check out the Least Common Multiple of 84216 and 84229