What is the Greatest Common Factor of 85380 and 85391?

Greatest common factor (GCF) of 85380 and 85391 is 1.

GCF(85380,85391) = 1

We will now calculate the prime factors of 85380 and 85391, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85380 and 85391.

How to find the GCF of 85380 and 85391?

We will first find the prime factorization of 85380 and 85391. After we will calculate the factors of 85380 and 85391 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 85391

Prime factors of 85391 are 17, 5023. Prime factorization of 85391 in exponential form is:

85391 = 17¹ × 5023¹

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 85391

List of positive integer factors of 85391 that divides 85380 without a remainder.

1, 17, 5023

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85380 and 85391. The biggest common factor number is the GCF number.
So the greatest common factor 85380 and 85391 is 1.

Also check out the Least Common Multiple of 85380 and 85391