What is the Greatest Common Factor of 82890 and 82899?

Greatest common factor (GCF) of 82890 and 82899 is 9.

GCF(82890,82899) = 9

We will now calculate the prime factors of 82890 and 82899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82890 and 82899.

How to find the GCF of 82890 and 82899?

We will first find the prime factorization of 82890 and 82899. After we will calculate the factors of 82890 and 82899 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 82899

Prime factors of 82899 are 3, 61, 151. Prime factorization of 82899 in exponential form is:

82899 = 3² × 61¹ × 151¹

Step-3: Factors of 82890

List of positive integer factors of 82890 that divides 82890 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

Step-4: Factors of 82899

List of positive integer factors of 82899 that divides 82890 without a remainder.

1, 3, 9, 61, 151, 183, 453, 549, 1359, 9211, 27633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82890 and 82899. The biggest common factor number is the GCF number.
So the greatest common factor 82890 and 82899 is 9.

Also check out the Least Common Multiple of 82890 and 82899