What is the Greatest Common Factor of 52789 and 52804?

Greatest common factor (GCF) of 52789 and 52804 is 1.

GCF(52789,52804) = 1

We will now calculate the prime factors of 52789 and 52804, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52789 and 52804.

How to find the GCF of 52789 and 52804?

We will first find the prime factorization of 52789 and 52804. After we will calculate the factors of 52789 and 52804 and find the biggest common factor number .

Step-1: Prime Factorization of 52789

Prime factors of 52789 are 11, 4799. Prime factorization of 52789 in exponential form is:

52789 = 11¹ × 4799¹

Step-2: 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-3: Factors of 52789

List of positive integer factors of 52789 that divides 52789 without a remainder.

1, 11, 4799

Step-4: Factors of 52804

List of positive integer factors of 52804 that divides 52789 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52789 and 52804. The biggest common factor number is the GCF number.
So the greatest common factor 52789 and 52804 is 1.

Also check out the Least Common Multiple of 52789 and 52804