What is the Greatest Common Factor of 39054 and 39073?

Greatest common factor (GCF) of 39054 and 39073 is 1.

GCF(39054,39073) = 1

We will now calculate the prime factors of 39054 and 39073, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39054 and 39073.

How to find the GCF of 39054 and 39073?

We will first find the prime factorization of 39054 and 39073. After we will calculate the factors of 39054 and 39073 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39073

Prime factors of 39073 are 41, 953. Prime factorization of 39073 in exponential form is:

39073 = 41¹ × 953¹

Step-3: Factors of 39054

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

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

Step-4: Factors of 39073

List of positive integer factors of 39073 that divides 39054 without a remainder.

1, 41, 953

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39054 and 39073. The biggest common factor number is the GCF number.
So the greatest common factor 39054 and 39073 is 1.

Also check out the Least Common Multiple of 39054 and 39073