What is the Greatest Common Factor of 82880 and 82890?

Greatest common factor (GCF) of 82880 and 82890 is 10.

GCF(82880,82890) = 10

We will now calculate the prime factors of 82880 and 82890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82880 and 82890.

How to find the GCF of 82880 and 82890?

We will first find the prime factorization of 82880 and 82890. After we will calculate the factors of 82880 and 82890 and find the biggest common factor number .

Step-1: Prime Factorization of 82880

Prime factors of 82880 are 2, 5, 7, 37. Prime factorization of 82880 in exponential form is:

82880 = 2⁶ × 5¹ × 7¹ × 37¹

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 82880

List of positive integer factors of 82880 that divides 82880 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 37, 40, 56, 64, 70, 74, 80, 112, 140, 148, 160, 185, 224, 259, 280, 296, 320, 370, 448, 518, 560, 592, 740, 1036, 1120, 1184, 1295, 1480, 2072, 2240, 2368, 2590, 2960, 4144, 5180, 5920, 8288, 10360, 11840, 16576, 20720, 41440

Step-4: Factors of 82890

List of positive integer factors of 82890 that divides 82880 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 82880 and 82890. The biggest common factor number is the GCF number.
So the greatest common factor 82880 and 82890 is 10.

Also check out the Least Common Multiple of 82880 and 82890