What is the Greatest Common Factor of 51909 and 51927?

Greatest common factor (GCF) of 51909 and 51927 is 3.

GCF(51909,51927) = 3

We will now calculate the prime factors of 51909 and 51927, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51909 and 51927.

How to find the GCF of 51909 and 51927?

We will first find the prime factorization of 51909 and 51927. After we will calculate the factors of 51909 and 51927 and find the biggest common factor number .

Step-1: Prime Factorization of 51909

Prime factors of 51909 are 3, 11, 13. Prime factorization of 51909 in exponential form is:

51909 = 3¹ × 11³ × 13¹

Step-2: Prime Factorization of 51927

Prime factors of 51927 are 3, 19, 911. Prime factorization of 51927 in exponential form is:

51927 = 3¹ × 19¹ × 911¹

Step-3: Factors of 51909

List of positive integer factors of 51909 that divides 51909 without a remainder.

1, 3, 11, 13, 33, 39, 121, 143, 363, 429, 1331, 1573, 3993, 4719, 17303

Step-4: Factors of 51927

List of positive integer factors of 51927 that divides 51909 without a remainder.

1, 3, 19, 57, 911, 2733, 17309

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51909 and 51927. The biggest common factor number is the GCF number.
So the greatest common factor 51909 and 51927 is 3.

Also check out the Least Common Multiple of 51909 and 51927