What is the Greatest Common Factor of 52492 and 52503?

Greatest common factor (GCF) of 52492 and 52503 is 11.

GCF(52492,52503) = 11

We will now calculate the prime factors of 52492 and 52503, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52492 and 52503.

How to find the GCF of 52492 and 52503?

We will first find the prime factorization of 52492 and 52503. After we will calculate the factors of 52492 and 52503 and find the biggest common factor number .

Step-1: Prime Factorization of 52492

Prime factors of 52492 are 2, 11, 1193. Prime factorization of 52492 in exponential form is:

52492 = 2² × 11¹ × 1193¹

Step-2: Prime Factorization of 52503

Prime factors of 52503 are 3, 11, 37, 43. Prime factorization of 52503 in exponential form is:

52503 = 3¹ × 11¹ × 37¹ × 43¹

Step-3: Factors of 52492

List of positive integer factors of 52492 that divides 52492 without a remainder.

1, 2, 4, 11, 22, 44, 1193, 2386, 4772, 13123, 26246

Step-4: Factors of 52503

List of positive integer factors of 52503 that divides 52492 without a remainder.

1, 3, 11, 33, 37, 43, 111, 129, 407, 473, 1221, 1419, 1591, 4773, 17501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52492 and 52503. The biggest common factor number is the GCF number.
So the greatest common factor 52492 and 52503 is 11.

Also check out the Least Common Multiple of 52492 and 52503