What is the Greatest Common Factor of 83228 and 83232?

Greatest common factor (GCF) of 83228 and 83232 is 4.

GCF(83228,83232) = 4

We will now calculate the prime factors of 83228 and 83232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83228 and 83232.

How to find the GCF of 83228 and 83232?

We will first find the prime factorization of 83228 and 83232. After we will calculate the factors of 83228 and 83232 and find the biggest common factor number .

Step-1: Prime Factorization of 83228

Prime factors of 83228 are 2, 20807. Prime factorization of 83228 in exponential form is:

83228 = 2² × 20807¹

Step-2: Prime Factorization of 83232

Prime factors of 83232 are 2, 3, 17. Prime factorization of 83232 in exponential form is:

83232 = 2⁵ × 3² × 17²

Step-3: Factors of 83228

List of positive integer factors of 83228 that divides 83228 without a remainder.

1, 2, 4, 20807, 41614

Step-4: Factors of 83232

List of positive integer factors of 83232 that divides 83228 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 32, 34, 36, 48, 51, 68, 72, 96, 102, 136, 144, 153, 204, 272, 288, 289, 306, 408, 544, 578, 612, 816, 867, 1156, 1224, 1632, 1734, 2312, 2448, 2601, 3468, 4624, 4896, 5202, 6936, 9248, 10404, 13872, 20808, 27744, 41616

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83228 and 83232. The biggest common factor number is the GCF number.
So the greatest common factor 83228 and 83232 is 4.

Also check out the Least Common Multiple of 83228 and 83232