What is the Greatest Common Factor of 52804 and 52817?

Greatest common factor (GCF) of 52804 and 52817 is 1.

GCF(52804,52817) = 1

We will now calculate the prime factors of 52804 and 52817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52804 and 52817.

How to find the GCF of 52804 and 52817?

We will first find the prime factorization of 52804 and 52817. After we will calculate the factors of 52804 and 52817 and find the biggest common factor number .

Step-1: Prime Factorization of 52804

Prime factors of 52804 are 2, 43, 307. Prime factorization of 52804 in exponential form is:

52804 = 2² × 43¹ × 307¹

Step-2: Prime Factorization of 52817

Prime factors of 52817 are 52817. Prime factorization of 52817 in exponential form is:

52817 = 52817¹

Step-3: Factors of 52804

List of positive integer factors of 52804 that divides 52804 without a remainder.

1, 2, 4, 43, 86, 172, 307, 614, 1228, 13201, 26402

Step-4: Factors of 52817

List of positive integer factors of 52817 that divides 52804 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52804 and 52817. The biggest common factor number is the GCF number.
So the greatest common factor 52804 and 52817 is 1.

Also check out the Least Common Multiple of 52804 and 52817