What is the Greatest Common Factor of 52890 and 52899?

Greatest common factor (GCF) of 52890 and 52899 is 3.

GCF(52890,52899) = 3

We will now calculate the prime factors of 52890 and 52899, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52890 and 52899.

How to find the GCF of 52890 and 52899?

We will first find the prime factorization of 52890 and 52899. After we will calculate the factors of 52890 and 52899 and find the biggest common factor number .

Step-1: Prime Factorization of 52890

Prime factors of 52890 are 2, 3, 5, 41, 43. Prime factorization of 52890 in exponential form is:

52890 = 2¹ × 3¹ × 5¹ × 41¹ × 43¹

Step-2: Prime Factorization of 52899

Prime factors of 52899 are 3, 7, 11, 229. Prime factorization of 52899 in exponential form is:

52899 = 3¹ × 7¹ × 11¹ × 229¹

Step-3: Factors of 52890

List of positive integer factors of 52890 that divides 52890 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 41, 43, 82, 86, 123, 129, 205, 215, 246, 258, 410, 430, 615, 645, 1230, 1290, 1763, 3526, 5289, 8815, 10578, 17630, 26445

Step-4: Factors of 52899

List of positive integer factors of 52899 that divides 52890 without a remainder.

1, 3, 7, 11, 21, 33, 77, 229, 231, 687, 1603, 2519, 4809, 7557, 17633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52890 and 52899. The biggest common factor number is the GCF number.
So the greatest common factor 52890 and 52899 is 3.

Also check out the Least Common Multiple of 52890 and 52899