What is the Greatest Common Factor of 83150 and 83160?

Greatest common factor (GCF) of 83150 and 83160 is 10.

GCF(83150,83160) = 10

We will now calculate the prime factors of 83150 and 83160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 83150 and 83160.

How to find the GCF of 83150 and 83160?

We will first find the prime factorization of 83150 and 83160. After we will calculate the factors of 83150 and 83160 and find the biggest common factor number .

Step-1: Prime Factorization of 83150

Prime factors of 83150 are 2, 5, 1663. Prime factorization of 83150 in exponential form is:

83150 = 2¹ × 5² × 1663¹

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 83150

List of positive integer factors of 83150 that divides 83150 without a remainder.

1, 2, 5, 10, 25, 50, 1663, 3326, 8315, 16630, 41575

Step-4: Factors of 83160

List of positive integer factors of 83160 that divides 83150 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 83150 and 83160. The biggest common factor number is the GCF number.
So the greatest common factor 83150 and 83160 is 10.

Also check out the Least Common Multiple of 83150 and 83160