What is the Greatest Common Factor of 51909 and 51929?

Greatest common factor (GCF) of 51909 and 51929 is 1.

GCF(51909,51929) = 1

We will now calculate the prime factors of 51909 and 51929, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 51909 and 51929.

How to find the GCF of 51909 and 51929?

We will first find the prime factorization of 51909 and 51929. After we will calculate the factors of 51909 and 51929 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 51929

Prime factors of 51929 are 51929. Prime factorization of 51929 in exponential form is:

51929 = 51929¹

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 51929

List of positive integer factors of 51929 that divides 51909 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 51909 and 51929. The biggest common factor number is the GCF number.
So the greatest common factor 51909 and 51929 is 1.

Also check out the Least Common Multiple of 51909 and 51929