What is the Greatest Common Factor of 49287 and 49305?

Greatest common factor (GCF) of 49287 and 49305 is 3.

GCF(49287,49305) = 3

We will now calculate the prime factors of 49287 and 49305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49287 and 49305.

How to find the GCF of 49287 and 49305?

We will first find the prime factorization of 49287 and 49305. After we will calculate the factors of 49287 and 49305 and find the biggest common factor number .

Step-1: Prime Factorization of 49287

Prime factors of 49287 are 3, 7, 2347. Prime factorization of 49287 in exponential form is:

49287 = 3¹ × 7¹ × 2347¹

Step-2: Prime Factorization of 49305

Prime factors of 49305 are 3, 5, 19, 173. Prime factorization of 49305 in exponential form is:

49305 = 3¹ × 5¹ × 19¹ × 173¹

Step-3: Factors of 49287

List of positive integer factors of 49287 that divides 49287 without a remainder.

1, 3, 7, 21, 2347, 7041, 16429

Step-4: Factors of 49305

List of positive integer factors of 49305 that divides 49287 without a remainder.

1, 3, 5, 15, 19, 57, 95, 173, 285, 519, 865, 2595, 3287, 9861, 16435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49287 and 49305. The biggest common factor number is the GCF number.
So the greatest common factor 49287 and 49305 is 3.

Also check out the Least Common Multiple of 49287 and 49305