What is the Greatest Common Factor of 52724 and 52733?

Greatest common factor (GCF) of 52724 and 52733 is 1.

GCF(52724,52733) = 1

We will now calculate the prime factors of 52724 and 52733, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52724 and 52733.

How to find the GCF of 52724 and 52733?

We will first find the prime factorization of 52724 and 52733. After we will calculate the factors of 52724 and 52733 and find the biggest common factor number .

Step-1: Prime Factorization of 52724

Prime factors of 52724 are 2, 7, 269. Prime factorization of 52724 in exponential form is:

52724 = 2² × 7² × 269¹

Step-2: Prime Factorization of 52733

Prime factors of 52733 are 52733. Prime factorization of 52733 in exponential form is:

52733 = 52733¹

Step-3: Factors of 52724

List of positive integer factors of 52724 that divides 52724 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 269, 538, 1076, 1883, 3766, 7532, 13181, 26362

Step-4: Factors of 52733

List of positive integer factors of 52733 that divides 52724 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52724 and 52733. The biggest common factor number is the GCF number.
So the greatest common factor 52724 and 52733 is 1.

Also check out the Least Common Multiple of 52724 and 52733