What is the Greatest Common Factor of 83369 and 83376?

Greatest common factor (GCF) of 83369 and 83376 is 1.

GCF(83369,83376) = 1

We will now calculate the prime factors of 83369 and 83376, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83369 and 83376.

How to find the GCF of 83369 and 83376?

We will first find the prime factorization of 83369 and 83376. After we will calculate the factors of 83369 and 83376 and find the biggest common factor number .

Step-1: Prime Factorization of 83369

Prime factors of 83369 are 11, 13, 53. Prime factorization of 83369 in exponential form is:

83369 = 11² × 13¹ × 53¹

Step-2: Prime Factorization of 83376

Prime factors of 83376 are 2, 3, 193. Prime factorization of 83376 in exponential form is:

83376 = 2⁴ × 3³ × 193¹

Step-3: Factors of 83369

List of positive integer factors of 83369 that divides 83369 without a remainder.

1, 11, 13, 53, 121, 143, 583, 689, 1573, 6413, 7579

Step-4: Factors of 83376

List of positive integer factors of 83376 that divides 83369 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 193, 216, 386, 432, 579, 772, 1158, 1544, 1737, 2316, 3088, 3474, 4632, 5211, 6948, 9264, 10422, 13896, 20844, 27792, 41688

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83369 and 83376. The biggest common factor number is the GCF number.
So the greatest common factor 83369 and 83376 is 1.

Also check out the Least Common Multiple of 83369 and 83376