What is the Greatest Common Factor of 51645 and 51654?

Greatest common factor (GCF) of 51645 and 51654 is 3.

GCF(51645,51654) = 3

We will now calculate the prime factors of 51645 and 51654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51645 and 51654.

How to find the GCF of 51645 and 51654?

We will first find the prime factorization of 51645 and 51654. After we will calculate the factors of 51645 and 51654 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 51654

Prime factors of 51654 are 2, 3, 8609. Prime factorization of 51654 in exponential form is:

51654 = 2¹ × 3¹ × 8609¹

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 51654

List of positive integer factors of 51654 that divides 51645 without a remainder.

1, 2, 3, 6, 8609, 17218, 25827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51645 and 51654. The biggest common factor number is the GCF number.
So the greatest common factor 51645 and 51654 is 3.

Also check out the Least Common Multiple of 51645 and 51654