What is the Greatest Common Factor of 52890 and 52895?

Greatest common factor (GCF) of 52890 and 52895 is 5.

GCF(52890,52895) = 5

We will now calculate the prime factors of 52890 and 52895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52890 and 52895.

How to find the GCF of 52890 and 52895?

We will first find the prime factorization of 52890 and 52895. After we will calculate the factors of 52890 and 52895 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 52895

Prime factors of 52895 are 5, 71, 149. Prime factorization of 52895 in exponential form is:

52895 = 5¹ × 71¹ × 149¹

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 52895

List of positive integer factors of 52895 that divides 52890 without a remainder.

1, 5, 71, 149, 355, 745, 10579

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52890 and 52895. The biggest common factor number is the GCF number.
So the greatest common factor 52890 and 52895 is 5.

Also check out the Least Common Multiple of 52890 and 52895