What is the Greatest Common Factor of 84385 and 84399?

Greatest common factor (GCF) of 84385 and 84399 is 7.

GCF(84385,84399) = 7

We will now calculate the prime factors of 84385 and 84399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84385 and 84399.

How to find the GCF of 84385 and 84399?

We will first find the prime factorization of 84385 and 84399. After we will calculate the factors of 84385 and 84399 and find the biggest common factor number .

Step-1: Prime Factorization of 84385

Prime factors of 84385 are 5, 7, 2411. Prime factorization of 84385 in exponential form is:

84385 = 5¹ × 7¹ × 2411¹

Step-2: Prime Factorization of 84399

Prime factors of 84399 are 3, 7, 4019. Prime factorization of 84399 in exponential form is:

84399 = 3¹ × 7¹ × 4019¹

Step-3: Factors of 84385

List of positive integer factors of 84385 that divides 84385 without a remainder.

1, 5, 7, 35, 2411, 12055, 16877

Step-4: Factors of 84399

List of positive integer factors of 84399 that divides 84385 without a remainder.

1, 3, 7, 21, 4019, 12057, 28133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84385 and 84399. The biggest common factor number is the GCF number.
So the greatest common factor 84385 and 84399 is 7.

Also check out the Least Common Multiple of 84385 and 84399