What is the Greatest Common Factor of 39030 and 39045?

Greatest common factor (GCF) of 39030 and 39045 is 15.

GCF(39030,39045) = 15

We will now calculate the prime factors of 39030 and 39045, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39030 and 39045.

How to find the GCF of 39030 and 39045?

We will first find the prime factorization of 39030 and 39045. After we will calculate the factors of 39030 and 39045 and find the biggest common factor number .

Step-1: Prime Factorization of 39030

Prime factors of 39030 are 2, 3, 5, 1301. Prime factorization of 39030 in exponential form is:

39030 = 2¹ × 3¹ × 5¹ × 1301¹

Step-2: Prime Factorization of 39045

Prime factors of 39045 are 3, 5, 19, 137. Prime factorization of 39045 in exponential form is:

39045 = 3¹ × 5¹ × 19¹ × 137¹

Step-3: Factors of 39030

List of positive integer factors of 39030 that divides 39030 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 1301, 2602, 3903, 6505, 7806, 13010, 19515

Step-4: Factors of 39045

List of positive integer factors of 39045 that divides 39030 without a remainder.

1, 3, 5, 15, 19, 57, 95, 137, 285, 411, 685, 2055, 2603, 7809, 13015

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39030 and 39045. The biggest common factor number is the GCF number.
So the greatest common factor 39030 and 39045 is 15.

Also check out the Least Common Multiple of 39030 and 39045