What is the Greatest Common Factor of 54538 and 54547?

Greatest common factor (GCF) of 54538 and 54547 is 1.

GCF(54538,54547) = 1

We will now calculate the prime factors of 54538 and 54547, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54538 and 54547.

How to find the GCF of 54538 and 54547?

We will first find the prime factorization of 54538 and 54547. After we will calculate the factors of 54538 and 54547 and find the biggest common factor number .

Step-1: Prime Factorization of 54538

Prime factors of 54538 are 2, 11, 37, 67. Prime factorization of 54538 in exponential form is:

54538 = 2¹ × 11¹ × 37¹ × 67¹

Step-2: Prime Factorization of 54547

Prime factors of 54547 are 54547. Prime factorization of 54547 in exponential form is:

54547 = 54547¹

Step-3: Factors of 54538

List of positive integer factors of 54538 that divides 54538 without a remainder.

1, 2, 11, 22, 37, 67, 74, 134, 407, 737, 814, 1474, 2479, 4958, 27269

Step-4: Factors of 54547

List of positive integer factors of 54547 that divides 54538 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54538 and 54547. The biggest common factor number is the GCF number.
So the greatest common factor 54538 and 54547 is 1.

Also check out the Least Common Multiple of 54538 and 54547