What is the Greatest Common Factor of 52724 and 52738?

Greatest common factor (GCF) of 52724 and 52738 is 14.

GCF(52724,52738) = 14

We will now calculate the prime factors of 52724 and 52738, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 52724 and 52738.

How to find the GCF of 52724 and 52738?

We will first find the prime factorization of 52724 and 52738. After we will calculate the factors of 52724 and 52738 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 52738

Prime factors of 52738 are 2, 7, 3767. Prime factorization of 52738 in exponential form is:

52738 = 2¹ × 7¹ × 3767¹

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 52738

List of positive integer factors of 52738 that divides 52724 without a remainder.

1, 2, 7, 14, 3767, 7534, 26369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 52724 and 52738. The biggest common factor number is the GCF number.
So the greatest common factor 52724 and 52738 is 14.

Also check out the Least Common Multiple of 52724 and 52738