What is the Greatest Common Factor of 83151 and 83160?

Greatest common factor (GCF) of 83151 and 83160 is 9.

GCF(83151,83160) = 9

We will now calculate the prime factors of 83151 and 83160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83151 and 83160.

How to find the GCF of 83151 and 83160?

We will first find the prime factorization of 83151 and 83160. After we will calculate the factors of 83151 and 83160 and find the biggest common factor number .

Step-1: Prime Factorization of 83151

Prime factors of 83151 are 3, 9239. Prime factorization of 83151 in exponential form is:

83151 = 3² × 9239¹

Step-2: 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-3: Factors of 83151

List of positive integer factors of 83151 that divides 83151 without a remainder.

1, 3, 9, 9239, 27717

Step-4: Factors of 83160

List of positive integer factors of 83160 that divides 83151 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83151 and 83160. The biggest common factor number is the GCF number.
So the greatest common factor 83151 and 83160 is 9.

Also check out the Least Common Multiple of 83151 and 83160