What is the Greatest Common Factor of 54234 and 54249?

Greatest common factor (GCF) of 54234 and 54249 is 3.

GCF(54234,54249) = 3

We will now calculate the prime factors of 54234 and 54249, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54234 and 54249.

How to find the GCF of 54234 and 54249?

We will first find the prime factorization of 54234 and 54249. After we will calculate the factors of 54234 and 54249 and find the biggest common factor number .

Step-1: Prime Factorization of 54234

Prime factors of 54234 are 2, 3, 23, 131. Prime factorization of 54234 in exponential form is:

54234 = 2¹ × 3² × 23¹ × 131¹

Step-2: Prime Factorization of 54249

Prime factors of 54249 are 3, 13, 107. Prime factorization of 54249 in exponential form is:

54249 = 3¹ × 13² × 107¹

Step-3: Factors of 54234

List of positive integer factors of 54234 that divides 54234 without a remainder.

1, 2, 3, 6, 9, 18, 23, 46, 69, 131, 138, 207, 262, 393, 414, 786, 1179, 2358, 3013, 6026, 9039, 18078, 27117

Step-4: Factors of 54249

List of positive integer factors of 54249 that divides 54234 without a remainder.

1, 3, 13, 39, 107, 169, 321, 507, 1391, 4173, 18083

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54234 and 54249. The biggest common factor number is the GCF number.
So the greatest common factor 54234 and 54249 is 3.

Also check out the Least Common Multiple of 54234 and 54249