What is the Greatest Common Factor of 83367 and 83373?

Greatest common factor (GCF) of 83367 and 83373 is 3.

GCF(83367,83373) = 3

We will now calculate the prime factors of 83367 and 83373, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83367 and 83373.

How to find the GCF of 83367 and 83373?

We will first find the prime factorization of 83367 and 83373. After we will calculate the factors of 83367 and 83373 and find the biggest common factor number .

Step-1: Prime Factorization of 83367

Prime factors of 83367 are 3, 59, 157. Prime factorization of 83367 in exponential form is:

83367 = 3² × 59¹ × 157¹

Step-2: Prime Factorization of 83373

Prime factors of 83373 are 3, 27791. Prime factorization of 83373 in exponential form is:

83373 = 3¹ × 27791¹

Step-3: Factors of 83367

List of positive integer factors of 83367 that divides 83367 without a remainder.

1, 3, 9, 59, 157, 177, 471, 531, 1413, 9263, 27789

Step-4: Factors of 83373

List of positive integer factors of 83373 that divides 83367 without a remainder.

1, 3, 27791

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83367 and 83373. The biggest common factor number is the GCF number.
So the greatest common factor 83367 and 83373 is 3.

Also check out the Least Common Multiple of 83367 and 83373