What is the Greatest Common Factor of 83160 and 83178?

Greatest common factor (GCF) of 83160 and 83178 is 18.

GCF(83160,83178) = 18

We will now calculate the prime factors of 83160 and 83178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83160 and 83178.

How to find the GCF of 83160 and 83178?

We will first find the prime factorization of 83160 and 83178. After we will calculate the factors of 83160 and 83178 and find the biggest common factor number .

Step-1: Prime Factorization of 83160

Prime factors of 83160 are 2, 3, 5, 7, 11. Prime factorization of 83160 in exponential form is:

83160 = 2³ × 3³ × 5¹ × 7¹ × 11¹

Step-2: Prime Factorization of 83178

Prime factors of 83178 are 2, 3, 4621. Prime factorization of 83178 in exponential form is:

83178 = 2¹ × 3² × 4621¹

Step-3: Factors of 83160

List of positive integer factors of 83160 that divides 83160 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 18, 20, 21, 22, 24, 27, 28, 30, 33, 35, 36, 40, 42, 44, 45, 54, 55, 56, 60, 63, 66, 70, 72, 77, 84, 88, 90, 99, 105, 108, 110, 120, 126, 132, 135, 140, 154, 165, 168, 180, 189, 198, 210, 216, 220, 231, 252, 264, 270, 280, 297, 308, 315, 330, 360, 378, 385, 396, 420, 440, 462, 495, 504, 540, 594, 616, 630, 660, 693, 756, 770, 792, 840, 924, 945, 990, 1080, 1155, 1188, 1260, 1320, 1386, 1485, 1512, 1540, 1848, 1890, 1980, 2079, 2310, 2376, 2520, 2772, 2970, 3080, 3465, 3780, 3960, 4158, 4620, 5544, 5940, 6930, 7560, 8316, 9240, 10395, 11880, 13860, 16632, 20790, 27720, 41580

Step-4: Factors of 83178

List of positive integer factors of 83178 that divides 83160 without a remainder.

1, 2, 3, 6, 9, 18, 4621, 9242, 13863, 27726, 41589

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83160 and 83178. The biggest common factor number is the GCF number.
So the greatest common factor 83160 and 83178 is 18.

Also check out the Least Common Multiple of 83160 and 83178