What is the Greatest Common Factor of 83395 and 83408?

Greatest common factor (GCF) of 83395 and 83408 is 13.

GCF(83395,83408) = 13

We will now calculate the prime factors of 83395 and 83408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83395 and 83408.

How to find the GCF of 83395 and 83408?

We will first find the prime factorization of 83395 and 83408. After we will calculate the factors of 83395 and 83408 and find the biggest common factor number .

Step-1: Prime Factorization of 83395

Prime factors of 83395 are 5, 13, 1283. Prime factorization of 83395 in exponential form is:

83395 = 5¹ × 13¹ × 1283¹

Step-2: Prime Factorization of 83408

Prime factors of 83408 are 2, 13, 401. Prime factorization of 83408 in exponential form is:

83408 = 2⁴ × 13¹ × 401¹

Step-3: Factors of 83395

List of positive integer factors of 83395 that divides 83395 without a remainder.

1, 5, 13, 65, 1283, 6415, 16679

Step-4: Factors of 83408

List of positive integer factors of 83408 that divides 83395 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 401, 802, 1604, 3208, 5213, 6416, 10426, 20852, 41704

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83395 and 83408. The biggest common factor number is the GCF number.
So the greatest common factor 83395 and 83408 is 13.

Also check out the Least Common Multiple of 83395 and 83408