What is the Greatest Common Factor of 84390 and 84405?

Greatest common factor (GCF) of 84390 and 84405 is 15.

GCF(84390,84405) = 15

We will now calculate the prime factors of 84390 and 84405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84390 and 84405.

How to find the GCF of 84390 and 84405?

We will first find the prime factorization of 84390 and 84405. After we will calculate the factors of 84390 and 84405 and find the biggest common factor number .

Step-1: Prime Factorization of 84390

Prime factors of 84390 are 2, 3, 5, 29, 97. Prime factorization of 84390 in exponential form is:

84390 = 2¹ × 3¹ × 5¹ × 29¹ × 97¹

Step-2: 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-3: Factors of 84390

List of positive integer factors of 84390 that divides 84390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 97, 145, 174, 194, 290, 291, 435, 485, 582, 870, 970, 1455, 2813, 2910, 5626, 8439, 14065, 16878, 28130, 42195

Step-4: Factors of 84405

List of positive integer factors of 84405 that divides 84390 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84390 and 84405. The biggest common factor number is the GCF number.
So the greatest common factor 84390 and 84405 is 15.

Also check out the Least Common Multiple of 84390 and 84405