What is the Greatest Common Factor of 52535 and 52549?

Greatest common factor (GCF) of 52535 and 52549 is 7.

GCF(52535,52549) = 7

We will now calculate the prime factors of 52535 and 52549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52535 and 52549.

How to find the GCF of 52535 and 52549?

We will first find the prime factorization of 52535 and 52549. After we will calculate the factors of 52535 and 52549 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 52549

Prime factors of 52549 are 7, 7507. Prime factorization of 52549 in exponential form is:

52549 = 7¹ × 7507¹

Step-3: Factors of 52535

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

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

Step-4: Factors of 52549

List of positive integer factors of 52549 that divides 52535 without a remainder.

1, 7, 7507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52535 and 52549. The biggest common factor number is the GCF number.
So the greatest common factor 52535 and 52549 is 7.

Also check out the Least Common Multiple of 52535 and 52549