What is the Greatest Common Factor of 85348 and 85367?

Greatest common factor (GCF) of 85348 and 85367 is 19.

GCF(85348,85367) = 19

We will now calculate the prime factors of 85348 and 85367, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 85348 and 85367.

How to find the GCF of 85348 and 85367?

We will first find the prime factorization of 85348 and 85367. After we will calculate the factors of 85348 and 85367 and find the biggest common factor number .

Step-1: Prime Factorization of 85348

Prime factors of 85348 are 2, 19, 1123. Prime factorization of 85348 in exponential form is:

85348 = 2² × 19¹ × 1123¹

Step-2: Prime Factorization of 85367

Prime factors of 85367 are 19, 4493. Prime factorization of 85367 in exponential form is:

85367 = 19¹ × 4493¹

Step-3: Factors of 85348

List of positive integer factors of 85348 that divides 85348 without a remainder.

1, 2, 4, 19, 38, 76, 1123, 2246, 4492, 21337, 42674

Step-4: Factors of 85367

List of positive integer factors of 85367 that divides 85348 without a remainder.

1, 19, 4493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 85348 and 85367. The biggest common factor number is the GCF number.
So the greatest common factor 85348 and 85367 is 19.

Also check out the Least Common Multiple of 85348 and 85367