What is the Greatest Common Factor of 39042 and 39054?

Greatest common factor (GCF) of 39042 and 39054 is 6.

GCF(39042,39054) = 6

We will now calculate the prime factors of 39042 and 39054, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39042 and 39054.

How to find the GCF of 39042 and 39054?

We will first find the prime factorization of 39042 and 39054. After we will calculate the factors of 39042 and 39054 and find the biggest common factor number .

Step-1: Prime Factorization of 39042

Prime factors of 39042 are 2, 3, 241. Prime factorization of 39042 in exponential form is:

39042 = 2¹ × 3⁴ × 241¹

Step-2: Prime Factorization of 39054

Prime factors of 39054 are 2, 3, 23, 283. Prime factorization of 39054 in exponential form is:

39054 = 2¹ × 3¹ × 23¹ × 283¹

Step-3: Factors of 39042

List of positive integer factors of 39042 that divides 39042 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 241, 482, 723, 1446, 2169, 4338, 6507, 13014, 19521

Step-4: Factors of 39054

List of positive integer factors of 39054 that divides 39042 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 283, 566, 849, 1698, 6509, 13018, 19527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39042 and 39054. The biggest common factor number is the GCF number.
So the greatest common factor 39042 and 39054 is 6.

Also check out the Least Common Multiple of 39042 and 39054