What is the Greatest Common Factor of 54678 and 54691?

Greatest common factor (GCF) of 54678 and 54691 is 13.

GCF(54678,54691) = 13

We will now calculate the prime factors of 54678 and 54691, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54678 and 54691.

How to find the GCF of 54678 and 54691?

We will first find the prime factorization of 54678 and 54691. After we will calculate the factors of 54678 and 54691 and find the biggest common factor number .

Step-1: Prime Factorization of 54678

Prime factors of 54678 are 2, 3, 13, 701. Prime factorization of 54678 in exponential form is:

54678 = 2¹ × 3¹ × 13¹ × 701¹

Step-2: Prime Factorization of 54691

Prime factors of 54691 are 7, 13, 601. Prime factorization of 54691 in exponential form is:

54691 = 7¹ × 13¹ × 601¹

Step-3: Factors of 54678

List of positive integer factors of 54678 that divides 54678 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 701, 1402, 2103, 4206, 9113, 18226, 27339

Step-4: Factors of 54691

List of positive integer factors of 54691 that divides 54678 without a remainder.

1, 7, 13, 91, 601, 4207, 7813

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54678 and 54691. The biggest common factor number is the GCF number.
So the greatest common factor 54678 and 54691 is 13.

Also check out the Least Common Multiple of 54678 and 54691