What is the Greatest Common Factor of 51645 and 51657?

Greatest common factor (GCF) of 51645 and 51657 is 3.

GCF(51645,51657) = 3

We will now calculate the prime factors of 51645 and 51657, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51645 and 51657.

How to find the GCF of 51645 and 51657?

We will first find the prime factorization of 51645 and 51657. After we will calculate the factors of 51645 and 51657 and find the biggest common factor number .

Step-1: Prime Factorization of 51645

Prime factors of 51645 are 3, 5, 11, 313. Prime factorization of 51645 in exponential form is:

51645 = 3¹ × 5¹ × 11¹ × 313¹

Step-2: Prime Factorization of 51657

Prime factors of 51657 are 3, 67, 257. Prime factorization of 51657 in exponential form is:

51657 = 3¹ × 67¹ × 257¹

Step-3: Factors of 51645

List of positive integer factors of 51645 that divides 51645 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 313, 939, 1565, 3443, 4695, 10329, 17215

Step-4: Factors of 51657

List of positive integer factors of 51657 that divides 51645 without a remainder.

1, 3, 67, 201, 257, 771, 17219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51645 and 51657. The biggest common factor number is the GCF number.
So the greatest common factor 51645 and 51657 is 3.

Also check out the Least Common Multiple of 51645 and 51657