What is the Greatest Common Factor of 83334 and 83352?

Greatest common factor (GCF) of 83334 and 83352 is 6.

GCF(83334,83352) = 6

We will now calculate the prime factors of 83334 and 83352, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83334 and 83352.

How to find the GCF of 83334 and 83352?

We will first find the prime factorization of 83334 and 83352. After we will calculate the factors of 83334 and 83352 and find the biggest common factor number .

Step-1: Prime Factorization of 83334

Prime factors of 83334 are 2, 3, 17, 19, 43. Prime factorization of 83334 in exponential form is:

83334 = 2¹ × 3¹ × 17¹ × 19¹ × 43¹

Step-2: 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-3: Factors of 83334

List of positive integer factors of 83334 that divides 83334 without a remainder.

1, 2, 3, 6, 17, 19, 34, 38, 43, 51, 57, 86, 102, 114, 129, 258, 323, 646, 731, 817, 969, 1462, 1634, 1938, 2193, 2451, 4386, 4902, 13889, 27778, 41667

Step-4: Factors of 83352

List of positive integer factors of 83352 that divides 83334 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83334 and 83352. The biggest common factor number is the GCF number.
So the greatest common factor 83334 and 83352 is 6.

Also check out the Least Common Multiple of 83334 and 83352