What is the Greatest Common Factor of 83352 and 83372?

Greatest common factor (GCF) of 83352 and 83372 is 4.

GCF(83352,83372) = 4

We will now calculate the prime factors of 83352 and 83372, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83352 and 83372.

How to find the GCF of 83352 and 83372?

We will first find the prime factorization of 83352 and 83372. After we will calculate the factors of 83352 and 83372 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 83372

Prime factors of 83372 are 2, 19, 1097. Prime factorization of 83372 in exponential form is:

83372 = 2² × 19¹ × 1097¹

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 83372

List of positive integer factors of 83372 that divides 83352 without a remainder.

1, 2, 4, 19, 38, 76, 1097, 2194, 4388, 20843, 41686

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83352 and 83372. The biggest common factor number is the GCF number.
So the greatest common factor 83352 and 83372 is 4.

Also check out the Least Common Multiple of 83352 and 83372