What is the Greatest Common Factor of 83408 and 83421?

Greatest common factor (GCF) of 83408 and 83421 is 13.

GCF(83408,83421) = 13

We will now calculate the prime factors of 83408 and 83421, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83408 and 83421.

How to find the GCF of 83408 and 83421?

We will first find the prime factorization of 83408 and 83421. After we will calculate the factors of 83408 and 83421 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 83421

Prime factors of 83421 are 3, 13, 23, 31. Prime factorization of 83421 in exponential form is:

83421 = 3² × 13¹ × 23¹ × 31¹

Step-3: Factors of 83408

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

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

Step-4: Factors of 83421

List of positive integer factors of 83421 that divides 83408 without a remainder.

1, 3, 9, 13, 23, 31, 39, 69, 93, 117, 207, 279, 299, 403, 713, 897, 1209, 2139, 2691, 3627, 6417, 9269, 27807

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83408 and 83421. The biggest common factor number is the GCF number.
So the greatest common factor 83408 and 83421 is 13.

Also check out the Least Common Multiple of 83408 and 83421