What is the Greatest Common Factor of 52481 and 52492?

Greatest common factor (GCF) of 52481 and 52492 is 11.

GCF(52481,52492) = 11

We will now calculate the prime factors of 52481 and 52492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52481 and 52492.

How to find the GCF of 52481 and 52492?

We will first find the prime factorization of 52481 and 52492. After we will calculate the factors of 52481 and 52492 and find the biggest common factor number .

Step-1: Prime Factorization of 52481

Prime factors of 52481 are 11, 13, 367. Prime factorization of 52481 in exponential form is:

52481 = 11¹ × 13¹ × 367¹

Step-2: 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-3: Factors of 52481

List of positive integer factors of 52481 that divides 52481 without a remainder.

1, 11, 13, 143, 367, 4037, 4771

Step-4: Factors of 52492

List of positive integer factors of 52492 that divides 52481 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52481 and 52492. The biggest common factor number is the GCF number.
So the greatest common factor 52481 and 52492 is 11.

Also check out the Least Common Multiple of 52481 and 52492