What is the Greatest Common Factor of 52564 and 52582?

Greatest common factor (GCF) of 52564 and 52582 is 2.

GCF(52564,52582) = 2

We will now calculate the prime factors of 52564 and 52582, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52564 and 52582.

How to find the GCF of 52564 and 52582?

We will first find the prime factorization of 52564 and 52582. After we will calculate the factors of 52564 and 52582 and find the biggest common factor number .

Step-1: Prime Factorization of 52564

Prime factors of 52564 are 2, 17, 773. Prime factorization of 52564 in exponential form is:

52564 = 2² × 17¹ × 773¹

Step-2: Prime Factorization of 52582

Prime factors of 52582 are 2, 61, 431. Prime factorization of 52582 in exponential form is:

52582 = 2¹ × 61¹ × 431¹

Step-3: Factors of 52564

List of positive integer factors of 52564 that divides 52564 without a remainder.

1, 2, 4, 17, 34, 68, 773, 1546, 3092, 13141, 26282

Step-4: Factors of 52582

List of positive integer factors of 52582 that divides 52564 without a remainder.

1, 2, 61, 122, 431, 862, 26291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52564 and 52582. The biggest common factor number is the GCF number.
So the greatest common factor 52564 and 52582 is 2.

Also check out the Least Common Multiple of 52564 and 52582