What is the Greatest Common Factor of 54538 and 54542?

Greatest common factor (GCF) of 54538 and 54542 is 2.

GCF(54538,54542) = 2

We will now calculate the prime factors of 54538 and 54542, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54538 and 54542.

How to find the GCF of 54538 and 54542?

We will first find the prime factorization of 54538 and 54542. After we will calculate the factors of 54538 and 54542 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 54542

Prime factors of 54542 are 2, 27271. Prime factorization of 54542 in exponential form is:

54542 = 2¹ × 27271¹

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 54542

List of positive integer factors of 54542 that divides 54538 without a remainder.

1, 2, 27271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54538 and 54542. The biggest common factor number is the GCF number.
So the greatest common factor 54538 and 54542 is 2.

Also check out the Least Common Multiple of 54538 and 54542