What is the Greatest Common Factor of 85365 and 85380?

Greatest common factor (GCF) of 85365 and 85380 is 15.

GCF(85365,85380) = 15

We will now calculate the prime factors of 85365 and 85380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85365 and 85380.

How to find the GCF of 85365 and 85380?

We will first find the prime factorization of 85365 and 85380. After we will calculate the factors of 85365 and 85380 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 85380

Prime factors of 85380 are 2, 3, 5, 1423. Prime factorization of 85380 in exponential form is:

85380 = 2² × 3¹ × 5¹ × 1423¹

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 85380

List of positive integer factors of 85380 that divides 85365 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1423, 2846, 4269, 5692, 7115, 8538, 14230, 17076, 21345, 28460, 42690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85365 and 85380. The biggest common factor number is the GCF number.
So the greatest common factor 85365 and 85380 is 15.

Also check out the Least Common Multiple of 85365 and 85380