What is the Greatest Common Factor of 54234 and 54242?

Greatest common factor (GCF) of 54234 and 54242 is 2.

GCF(54234,54242) = 2

We will now calculate the prime factors of 54234 and 54242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54234 and 54242.

How to find the GCF of 54234 and 54242?

We will first find the prime factorization of 54234 and 54242. After we will calculate the factors of 54234 and 54242 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 54242

Prime factors of 54242 are 2, 37, 733. Prime factorization of 54242 in exponential form is:

54242 = 2¹ × 37¹ × 733¹

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 54242

List of positive integer factors of 54242 that divides 54234 without a remainder.

1, 2, 37, 74, 733, 1466, 27121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54234 and 54242. The biggest common factor number is the GCF number.
So the greatest common factor 54234 and 54242 is 2.

Also check out the Least Common Multiple of 54234 and 54242