What is the Greatest Common Factor of 83160 and 83180?

Greatest common factor (GCF) of 83160 and 83180 is 20.

GCF(83160,83180) = 20

We will now calculate the prime factors of 83160 and 83180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83160 and 83180.

How to find the GCF of 83160 and 83180?

We will first find the prime factorization of 83160 and 83180. After we will calculate the factors of 83160 and 83180 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 83180

Prime factors of 83180 are 2, 5, 4159. Prime factorization of 83180 in exponential form is:

83180 = 2² × 5¹ × 4159¹

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 83180

List of positive integer factors of 83180 that divides 83160 without a remainder.

1, 2, 4, 5, 10, 20, 4159, 8318, 16636, 20795, 41590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 83160 and 83180. The biggest common factor number is the GCF number.
So the greatest common factor 83160 and 83180 is 20.

Also check out the Least Common Multiple of 83160 and 83180