What is the Greatest Common Factor of 82875 and 82890?

Greatest common factor (GCF) of 82875 and 82890 is 15.

GCF(82875,82890) = 15

We will now calculate the prime factors of 82875 and 82890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82875 and 82890.

How to find the GCF of 82875 and 82890?

We will first find the prime factorization of 82875 and 82890. After we will calculate the factors of 82875 and 82890 and find the biggest common factor number .

Step-1: Prime Factorization of 82875

Prime factors of 82875 are 3, 5, 13, 17. Prime factorization of 82875 in exponential form is:

82875 = 3¹ × 5³ × 13¹ × 17¹

Step-2: Prime Factorization of 82890

Prime factors of 82890 are 2, 3, 5, 307. Prime factorization of 82890 in exponential form is:

82890 = 2¹ × 3³ × 5¹ × 307¹

Step-3: Factors of 82875

List of positive integer factors of 82875 that divides 82875 without a remainder.

1, 3, 5, 13, 15, 17, 25, 39, 51, 65, 75, 85, 125, 195, 221, 255, 325, 375, 425, 663, 975, 1105, 1275, 1625, 2125, 3315, 4875, 5525, 6375, 16575, 27625

Step-4: Factors of 82890

List of positive integer factors of 82890 that divides 82875 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 307, 614, 921, 1535, 1842, 2763, 3070, 4605, 5526, 8289, 9210, 13815, 16578, 27630, 41445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82875 and 82890. The biggest common factor number is the GCF number.
So the greatest common factor 82875 and 82890 is 15.

Also check out the Least Common Multiple of 82875 and 82890