What is the Greatest Common Factor of 54234 and 54246?

Greatest common factor (GCF) of 54234 and 54246 is 6.

GCF(54234,54246) = 6

We will now calculate the prime factors of 54234 and 54246, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54234 and 54246.

How to find the GCF of 54234 and 54246?

We will first find the prime factorization of 54234 and 54246. After we will calculate the factors of 54234 and 54246 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 54246

Prime factors of 54246 are 2, 3, 9041. Prime factorization of 54246 in exponential form is:

54246 = 2¹ × 3¹ × 9041¹

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 54246

List of positive integer factors of 54246 that divides 54234 without a remainder.

1, 2, 3, 6, 9041, 18082, 27123

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54234 and 54246. The biggest common factor number is the GCF number.
So the greatest common factor 54234 and 54246 is 6.

Also check out the Least Common Multiple of 54234 and 54246