What is the Greatest Common Factor of 83392 and 83408?

Greatest common factor (GCF) of 83392 and 83408 is 16.

GCF(83392,83408) = 16

We will now calculate the prime factors of 83392 and 83408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83392 and 83408.

How to find the GCF of 83392 and 83408?

We will first find the prime factorization of 83392 and 83408. After we will calculate the factors of 83392 and 83408 and find the biggest common factor number .

Step-1: Prime Factorization of 83392

Prime factors of 83392 are 2, 1303. Prime factorization of 83392 in exponential form is:

83392 = 2⁶ × 1303¹

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 83392

List of positive integer factors of 83392 that divides 83392 without a remainder.

1, 2, 4, 8, 16, 32, 64, 1303, 2606, 5212, 10424, 20848, 41696

Step-4: Factors of 83408

List of positive integer factors of 83408 that divides 83392 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 83392 and 83408. The biggest common factor number is the GCF number.
So the greatest common factor 83392 and 83408 is 16.

Also check out the Least Common Multiple of 83392 and 83408