What is the Greatest Common Factor of 54348 and 54362?

Greatest common factor (GCF) of 54348 and 54362 is 14.

GCF(54348,54362) = 14

We will now calculate the prime factors of 54348 and 54362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54348 and 54362.

How to find the GCF of 54348 and 54362?

We will first find the prime factorization of 54348 and 54362. After we will calculate the factors of 54348 and 54362 and find the biggest common factor number .

Step-1: Prime Factorization of 54348

Prime factors of 54348 are 2, 3, 7, 647. Prime factorization of 54348 in exponential form is:

54348 = 2² × 3¹ × 7¹ × 647¹

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 54348

List of positive integer factors of 54348 that divides 54348 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 647, 1294, 1941, 2588, 3882, 4529, 7764, 9058, 13587, 18116, 27174

Step-4: Factors of 54362

List of positive integer factors of 54362 that divides 54348 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 54348 and 54362. The biggest common factor number is the GCF number.
So the greatest common factor 54348 and 54362 is 14.

Also check out the Least Common Multiple of 54348 and 54362