What is the Greatest Common Factor of 52514 and 52524?

Greatest common factor (GCF) of 52514 and 52524 is 2.

GCF(52514,52524) = 2

We will now calculate the prime factors of 52514 and 52524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52514 and 52524.

How to find the GCF of 52514 and 52524?

We will first find the prime factorization of 52514 and 52524. After we will calculate the factors of 52514 and 52524 and find the biggest common factor number .

Step-1: Prime Factorization of 52514

Prime factors of 52514 are 2, 7, 11, 31. Prime factorization of 52514 in exponential form is:

52514 = 2¹ × 7¹ × 11² × 31¹

Step-2: Prime Factorization of 52524

Prime factors of 52524 are 2, 3, 1459. Prime factorization of 52524 in exponential form is:

52524 = 2² × 3² × 1459¹

Step-3: Factors of 52514

List of positive integer factors of 52514 that divides 52514 without a remainder.

1, 2, 7, 11, 14, 22, 31, 62, 77, 121, 154, 217, 242, 341, 434, 682, 847, 1694, 2387, 3751, 4774, 7502, 26257

Step-4: Factors of 52524

List of positive integer factors of 52524 that divides 52514 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1459, 2918, 4377, 5836, 8754, 13131, 17508, 26262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52514 and 52524. The biggest common factor number is the GCF number.
So the greatest common factor 52514 and 52524 is 2.

Also check out the Least Common Multiple of 52514 and 52524