What is the Greatest Common Factor of 85384 and 85397?

Greatest common factor (GCF) of 85384 and 85397 is 13.

GCF(85384,85397) = 13

We will now calculate the prime factors of 85384 and 85397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85384 and 85397.

How to find the GCF of 85384 and 85397?

We will first find the prime factorization of 85384 and 85397. After we will calculate the factors of 85384 and 85397 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 85397

Prime factors of 85397 are 13, 6569. Prime factorization of 85397 in exponential form is:

85397 = 13¹ × 6569¹

Step-3: Factors of 85384

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

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

Step-4: Factors of 85397

List of positive integer factors of 85397 that divides 85384 without a remainder.

1, 13, 6569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85384 and 85397. The biggest common factor number is the GCF number.
So the greatest common factor 85384 and 85397 is 13.

Also check out the Least Common Multiple of 85384 and 85397