What is the Greatest Common Factor of 54523 and 54537?

Greatest common factor (GCF) of 54523 and 54537 is 7.

GCF(54523,54537) = 7

We will now calculate the prime factors of 54523 and 54537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54523 and 54537.

How to find the GCF of 54523 and 54537?

We will first find the prime factorization of 54523 and 54537. After we will calculate the factors of 54523 and 54537 and find the biggest common factor number .

Step-1: Prime Factorization of 54523

Prime factors of 54523 are 7, 7789. Prime factorization of 54523 in exponential form is:

54523 = 7¹ × 7789¹

Step-2: Prime Factorization of 54537

Prime factors of 54537 are 3, 7, 53. Prime factorization of 54537 in exponential form is:

54537 = 3¹ × 7³ × 53¹

Step-3: Factors of 54523

List of positive integer factors of 54523 that divides 54523 without a remainder.

1, 7, 7789

Step-4: Factors of 54537

List of positive integer factors of 54537 that divides 54523 without a remainder.

1, 3, 7, 21, 49, 53, 147, 159, 343, 371, 1029, 1113, 2597, 7791, 18179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54523 and 54537. The biggest common factor number is the GCF number.
So the greatest common factor 54523 and 54537 is 7.

Also check out the Least Common Multiple of 54523 and 54537