What is the Greatest Common Factor of 83352 and 83364?

Greatest common factor (GCF) of 83352 and 83364 is 12.

GCF(83352,83364) = 12

We will now calculate the prime factors of 83352 and 83364, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83352 and 83364.

How to find the GCF of 83352 and 83364?

We will first find the prime factorization of 83352 and 83364. After we will calculate the factors of 83352 and 83364 and find the biggest common factor number .

Step-1: Prime Factorization of 83352

Prime factors of 83352 are 2, 3, 23, 151. Prime factorization of 83352 in exponential form is:

83352 = 2³ × 3¹ × 23¹ × 151¹

Step-2: Prime Factorization of 83364

Prime factors of 83364 are 2, 3, 6947. Prime factorization of 83364 in exponential form is:

83364 = 2² × 3¹ × 6947¹

Step-3: Factors of 83352

List of positive integer factors of 83352 that divides 83352 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 151, 184, 276, 302, 453, 552, 604, 906, 1208, 1812, 3473, 3624, 6946, 10419, 13892, 20838, 27784, 41676

Step-4: Factors of 83364

List of positive integer factors of 83364 that divides 83352 without a remainder.

1, 2, 3, 4, 6, 12, 6947, 13894, 20841, 27788, 41682

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83352 and 83364. The biggest common factor number is the GCF number.
So the greatest common factor 83352 and 83364 is 12.

Also check out the Least Common Multiple of 83352 and 83364