What is the Greatest Common Factor of 85380 and 85395?

Greatest common factor (GCF) of 85380 and 85395 is 15.

GCF(85380,85395) = 15

We will now calculate the prime factors of 85380 and 85395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85380 and 85395.

How to find the GCF of 85380 and 85395?

We will first find the prime factorization of 85380 and 85395. After we will calculate the factors of 85380 and 85395 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85395

Prime factors of 85395 are 3, 5, 5693. Prime factorization of 85395 in exponential form is:

85395 = 3¹ × 5¹ × 5693¹

Step-3: Factors of 85380

List of positive integer factors of 85380 that divides 85380 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

Step-4: Factors of 85395

List of positive integer factors of 85395 that divides 85380 without a remainder.

1, 3, 5, 15, 5693, 17079, 28465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85380 and 85395. The biggest common factor number is the GCF number.
So the greatest common factor 85380 and 85395 is 15.

Also check out the Least Common Multiple of 85380 and 85395