What is the Greatest Common Factor of 83220 and 83232?

Greatest common factor (GCF) of 83220 and 83232 is 12.

GCF(83220,83232) = 12

We will now calculate the prime factors of 83220 and 83232, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83220 and 83232.

How to find the GCF of 83220 and 83232?

We will first find the prime factorization of 83220 and 83232. After we will calculate the factors of 83220 and 83232 and find the biggest common factor number .

Step-1: Prime Factorization of 83220

Prime factors of 83220 are 2, 3, 5, 19, 73. Prime factorization of 83220 in exponential form is:

83220 = 2² × 3¹ × 5¹ × 19¹ × 73¹

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 83220

List of positive integer factors of 83220 that divides 83220 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 73, 76, 95, 114, 146, 190, 219, 228, 285, 292, 365, 380, 438, 570, 730, 876, 1095, 1140, 1387, 1460, 2190, 2774, 4161, 4380, 5548, 6935, 8322, 13870, 16644, 20805, 27740, 41610

Step-4: Factors of 83232

List of positive integer factors of 83232 that divides 83220 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 83220 and 83232. The biggest common factor number is the GCF number.
So the greatest common factor 83220 and 83232 is 12.

Also check out the Least Common Multiple of 83220 and 83232