What is the Greatest Common Factor of 83292 and 83301?

Greatest common factor (GCF) of 83292 and 83301 is 3.

GCF(83292,83301) = 3

We will now calculate the prime factors of 83292 and 83301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83292 and 83301.

How to find the GCF of 83292 and 83301?

We will first find the prime factorization of 83292 and 83301. After we will calculate the factors of 83292 and 83301 and find the biggest common factor number .

Step-1: Prime Factorization of 83292

Prime factors of 83292 are 2, 3, 11, 631. Prime factorization of 83292 in exponential form is:

83292 = 2² × 3¹ × 11¹ × 631¹

Step-2: Prime Factorization of 83301

Prime factors of 83301 are 3, 27767. Prime factorization of 83301 in exponential form is:

83301 = 3¹ × 27767¹

Step-3: Factors of 83292

List of positive integer factors of 83292 that divides 83292 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 631, 1262, 1893, 2524, 3786, 6941, 7572, 13882, 20823, 27764, 41646

Step-4: Factors of 83301

List of positive integer factors of 83301 that divides 83292 without a remainder.

1, 3, 27767

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83292 and 83301. The biggest common factor number is the GCF number.
So the greatest common factor 83292 and 83301 is 3.

Also check out the Least Common Multiple of 83292 and 83301