What is the Greatest Common Factor of 52404 and 52408?

Greatest common factor (GCF) of 52404 and 52408 is 4.

GCF(52404,52408) = 4

We will now calculate the prime factors of 52404 and 52408, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52404 and 52408.

How to find the GCF of 52404 and 52408?

We will first find the prime factorization of 52404 and 52408. After we will calculate the factors of 52404 and 52408 and find the biggest common factor number .

Step-1: Prime Factorization of 52404

Prime factors of 52404 are 2, 3, 11, 397. Prime factorization of 52404 in exponential form is:

52404 = 2² × 3¹ × 11¹ × 397¹

Step-2: Prime Factorization of 52408

Prime factors of 52408 are 2, 6551. Prime factorization of 52408 in exponential form is:

52408 = 2³ × 6551¹

Step-3: Factors of 52404

List of positive integer factors of 52404 that divides 52404 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 397, 794, 1191, 1588, 2382, 4367, 4764, 8734, 13101, 17468, 26202

Step-4: Factors of 52408

List of positive integer factors of 52408 that divides 52404 without a remainder.

1, 2, 4, 8, 6551, 13102, 26204

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52404 and 52408. The biggest common factor number is the GCF number.
So the greatest common factor 52404 and 52408 is 4.

Also check out the Least Common Multiple of 52404 and 52408