What is the Greatest Common Factor of 84380 and 84385?

Greatest common factor (GCF) of 84380 and 84385 is 5.

GCF(84380,84385) = 5

We will now calculate the prime factors of 84380 and 84385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 84380 and 84385.

How to find the GCF of 84380 and 84385?

We will first find the prime factorization of 84380 and 84385. After we will calculate the factors of 84380 and 84385 and find the biggest common factor number .

Step-1: Prime Factorization of 84380

Prime factors of 84380 are 2, 5, 4219. Prime factorization of 84380 in exponential form is:

84380 = 2² × 5¹ × 4219¹

Step-2: 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-3: Factors of 84380

List of positive integer factors of 84380 that divides 84380 without a remainder.

1, 2, 4, 5, 10, 20, 4219, 8438, 16876, 21095, 42190

Step-4: Factors of 84385

List of positive integer factors of 84385 that divides 84380 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 84380 and 84385. The biggest common factor number is the GCF number.
So the greatest common factor 84380 and 84385 is 5.

Also check out the Least Common Multiple of 84380 and 84385