What is the Greatest Common Factor of 54351 and 54362?

Greatest common factor (GCF) of 54351 and 54362 is 11.

GCF(54351,54362) = 11

We will now calculate the prime factors of 54351 and 54362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54351 and 54362.

How to find the GCF of 54351 and 54362?

We will first find the prime factorization of 54351 and 54362. After we will calculate the factors of 54351 and 54362 and find the biggest common factor number .

Step-1: Prime Factorization of 54351

Prime factors of 54351 are 3, 11, 61. Prime factorization of 54351 in exponential form is:

54351 = 3⁴ × 11¹ × 61¹

Step-2: Prime Factorization of 54362

Prime factors of 54362 are 2, 7, 11, 353. Prime factorization of 54362 in exponential form is:

54362 = 2¹ × 7¹ × 11¹ × 353¹

Step-3: Factors of 54351

List of positive integer factors of 54351 that divides 54351 without a remainder.

1, 3, 9, 11, 27, 33, 61, 81, 99, 183, 297, 549, 671, 891, 1647, 2013, 4941, 6039, 18117

Step-4: Factors of 54362

List of positive integer factors of 54362 that divides 54351 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 353, 706, 2471, 3883, 4942, 7766, 27181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54351 and 54362. The biggest common factor number is the GCF number.
So the greatest common factor 54351 and 54362 is 11.

Also check out the Least Common Multiple of 54351 and 54362