What is the Greatest Common Factor of 82890 and 82908?

Greatest common factor (GCF) of 82890 and 82908 is 18.

GCF(82890,82908) = 18

We will now calculate the prime factors of 82890 and 82908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 82890 and 82908.

How to find the GCF of 82890 and 82908?

We will first find the prime factorization of 82890 and 82908. After we will calculate the factors of 82890 and 82908 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 82908

Prime factors of 82908 are 2, 3, 7, 47. Prime factorization of 82908 in exponential form is:

82908 = 2² × 3² × 7² × 47¹

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 82908

List of positive integer factors of 82908 that divides 82890 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 47, 49, 63, 84, 94, 98, 126, 141, 147, 188, 196, 252, 282, 294, 329, 423, 441, 564, 588, 658, 846, 882, 987, 1316, 1692, 1764, 1974, 2303, 2961, 3948, 4606, 5922, 6909, 9212, 11844, 13818, 20727, 27636, 41454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 82890 and 82908. The biggest common factor number is the GCF number.
So the greatest common factor 82890 and 82908 is 18.

Also check out the Least Common Multiple of 82890 and 82908