What is the Greatest Common Factor of 52524 and 52535?

Greatest common factor (GCF) of 52524 and 52535 is 1.

GCF(52524,52535) = 1

We will now calculate the prime factors of 52524 and 52535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52524 and 52535.

How to find the GCF of 52524 and 52535?

We will first find the prime factorization of 52524 and 52535. After we will calculate the factors of 52524 and 52535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52535

Prime factors of 52535 are 5, 7, 19, 79. Prime factorization of 52535 in exponential form is:

52535 = 5¹ × 7¹ × 19¹ × 79¹

Step-3: Factors of 52524

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

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

Step-4: Factors of 52535

List of positive integer factors of 52535 that divides 52524 without a remainder.

1, 5, 7, 19, 35, 79, 95, 133, 395, 553, 665, 1501, 2765, 7505, 10507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52524 and 52535. The biggest common factor number is the GCF number.
So the greatest common factor 52524 and 52535 is 1.

Also check out the Least Common Multiple of 52524 and 52535