What is the Greatest Common Factor of 84405 and 84420?

Greatest common factor (GCF) of 84405 and 84420 is 15.

GCF(84405,84420) = 15

We will now calculate the prime factors of 84405 and 84420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84405 and 84420.

How to find the GCF of 84405 and 84420?

We will first find the prime factorization of 84405 and 84420. After we will calculate the factors of 84405 and 84420 and find the biggest common factor number .

Step-1: Prime Factorization of 84405

Prime factors of 84405 are 3, 5, 17, 331. Prime factorization of 84405 in exponential form is:

84405 = 3¹ × 5¹ × 17¹ × 331¹

Step-2: 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-3: Factors of 84405

List of positive integer factors of 84405 that divides 84405 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255, 331, 993, 1655, 4965, 5627, 16881, 28135

Step-4: Factors of 84420

List of positive integer factors of 84420 that divides 84405 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84405 and 84420. The biggest common factor number is the GCF number.
So the greatest common factor 84405 and 84420 is 15.

Also check out the Least Common Multiple of 84405 and 84420