What is the Greatest Common Factor of 52890 and 52909?

Greatest common factor (GCF) of 52890 and 52909 is 1.

GCF(52890,52909) = 1

We will now calculate the prime factors of 52890 and 52909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52890 and 52909.

How to find the GCF of 52890 and 52909?

We will first find the prime factorization of 52890 and 52909. After we will calculate the factors of 52890 and 52909 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 52909

Prime factors of 52909 are 157, 337. Prime factorization of 52909 in exponential form is:

52909 = 157¹ × 337¹

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 52909

List of positive integer factors of 52909 that divides 52890 without a remainder.

1, 157, 337

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52890 and 52909. The biggest common factor number is the GCF number.
So the greatest common factor 52890 and 52909 is 1.

Also check out the Least Common Multiple of 52890 and 52909