What is the Greatest Common Factor of 83146 and 83160?

Greatest common factor (GCF) of 83146 and 83160 is 14.

GCF(83146,83160) = 14

We will now calculate the prime factors of 83146 and 83160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83146 and 83160.

How to find the GCF of 83146 and 83160?

We will first find the prime factorization of 83146 and 83160. After we will calculate the factors of 83146 and 83160 and find the biggest common factor number .

Step-1: Prime Factorization of 83146

Prime factors of 83146 are 2, 7, 5939. Prime factorization of 83146 in exponential form is:

83146 = 2¹ × 7¹ × 5939¹

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 83146

List of positive integer factors of 83146 that divides 83146 without a remainder.

1, 2, 7, 14, 5939, 11878, 41573

Step-4: Factors of 83160

List of positive integer factors of 83160 that divides 83146 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 83146 and 83160. The biggest common factor number is the GCF number.
So the greatest common factor 83146 and 83160 is 14.

Also check out the Least Common Multiple of 83146 and 83160