What is the Greatest Common Factor of 84420 and 84429?

Greatest common factor (GCF) of 84420 and 84429 is 9.

GCF(84420,84429) = 9

We will now calculate the prime factors of 84420 and 84429, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84420 and 84429.

How to find the GCF of 84420 and 84429?

We will first find the prime factorization of 84420 and 84429. After we will calculate the factors of 84420 and 84429 and find the biggest common factor number .

Step-1: Prime Factorization of 84420

Prime factors of 84420 are 2, 3, 5, 7, 67. Prime factorization of 84420 in exponential form is:

84420 = 2² × 3² × 5¹ × 7¹ × 67¹

Step-2: Prime Factorization of 84429

Prime factors of 84429 are 3, 53, 59. Prime factorization of 84429 in exponential form is:

84429 = 3³ × 53¹ × 59¹

Step-3: Factors of 84420

List of positive integer factors of 84420 that divides 84420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 67, 70, 84, 90, 105, 126, 134, 140, 180, 201, 210, 252, 268, 315, 335, 402, 420, 469, 603, 630, 670, 804, 938, 1005, 1206, 1260, 1340, 1407, 1876, 2010, 2345, 2412, 2814, 3015, 4020, 4221, 4690, 5628, 6030, 7035, 8442, 9380, 12060, 14070, 16884, 21105, 28140, 42210

Step-4: Factors of 84429

List of positive integer factors of 84429 that divides 84420 without a remainder.

1, 3, 9, 27, 53, 59, 159, 177, 477, 531, 1431, 1593, 3127, 9381, 28143

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84420 and 84429. The biggest common factor number is the GCF number.
So the greatest common factor 84420 and 84429 is 9.

Also check out the Least Common Multiple of 84420 and 84429