What is the Greatest Common Factor of 85365 and 85384?

Greatest common factor (GCF) of 85365 and 85384 is 1.

GCF(85365,85384) = 1

We will now calculate the prime factors of 85365 and 85384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85365 and 85384.

How to find the GCF of 85365 and 85384?

We will first find the prime factorization of 85365 and 85384. After we will calculate the factors of 85365 and 85384 and find the biggest common factor number .

Step-1: Prime Factorization of 85365

Prime factors of 85365 are 3, 5, 7, 271. Prime factorization of 85365 in exponential form is:

85365 = 3² × 5¹ × 7¹ × 271¹

Step-2: Prime Factorization of 85384

Prime factors of 85384 are 2, 13, 821. Prime factorization of 85384 in exponential form is:

85384 = 2³ × 13¹ × 821¹

Step-3: Factors of 85365

List of positive integer factors of 85365 that divides 85365 without a remainder.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 271, 315, 813, 1355, 1897, 2439, 4065, 5691, 9485, 12195, 17073, 28455

Step-4: Factors of 85384

List of positive integer factors of 85384 that divides 85365 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 821, 1642, 3284, 6568, 10673, 21346, 42692

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85365 and 85384. The biggest common factor number is the GCF number.
So the greatest common factor 85365 and 85384 is 1.

Also check out the Least Common Multiple of 85365 and 85384