What is the Greatest Common Factor of 52905 and 52923?

Greatest common factor (GCF) of 52905 and 52923 is 3.

GCF(52905,52923) = 3

We will now calculate the prime factors of 52905 and 52923, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52905 and 52923.

How to find the GCF of 52905 and 52923?

We will first find the prime factorization of 52905 and 52923. After we will calculate the factors of 52905 and 52923 and find the biggest common factor number .

Step-1: Prime Factorization of 52905

Prime factors of 52905 are 3, 5, 3527. Prime factorization of 52905 in exponential form is:

52905 = 3¹ × 5¹ × 3527¹

Step-2: Prime Factorization of 52923

Prime factors of 52923 are 3, 13, 23, 59. Prime factorization of 52923 in exponential form is:

52923 = 3¹ × 13¹ × 23¹ × 59¹

Step-3: Factors of 52905

List of positive integer factors of 52905 that divides 52905 without a remainder.

1, 3, 5, 15, 3527, 10581, 17635

Step-4: Factors of 52923

List of positive integer factors of 52923 that divides 52905 without a remainder.

1, 3, 13, 23, 39, 59, 69, 177, 299, 767, 897, 1357, 2301, 4071, 17641

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52905 and 52923. The biggest common factor number is the GCF number.
So the greatest common factor 52905 and 52923 is 3.

Also check out the Least Common Multiple of 52905 and 52923