What is the Greatest Common Factor of 52504 and 52522?

Greatest common factor (GCF) of 52504 and 52522 is 2.

GCF(52504,52522) = 2

We will now calculate the prime factors of 52504 and 52522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52504 and 52522.

How to find the GCF of 52504 and 52522?

We will first find the prime factorization of 52504 and 52522. After we will calculate the factors of 52504 and 52522 and find the biggest common factor number .

Step-1: Prime Factorization of 52504

Prime factors of 52504 are 2, 6563. Prime factorization of 52504 in exponential form is:

52504 = 2³ × 6563¹

Step-2: Prime Factorization of 52522

Prime factors of 52522 are 2, 26261. Prime factorization of 52522 in exponential form is:

52522 = 2¹ × 26261¹

Step-3: Factors of 52504

List of positive integer factors of 52504 that divides 52504 without a remainder.

1, 2, 4, 8, 6563, 13126, 26252

Step-4: Factors of 52522

List of positive integer factors of 52522 that divides 52504 without a remainder.

1, 2, 26261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52504 and 52522. The biggest common factor number is the GCF number.
So the greatest common factor 52504 and 52522 is 2.

Also check out the Least Common Multiple of 52504 and 52522