What is the Greatest Common Factor of 39045 and 39060?

Greatest common factor (GCF) of 39045 and 39060 is 15.

GCF(39045,39060) = 15

We will now calculate the prime factors of 39045 and 39060, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39045 and 39060.

How to find the GCF of 39045 and 39060?

We will first find the prime factorization of 39045 and 39060. After we will calculate the factors of 39045 and 39060 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 39060

Prime factors of 39060 are 2, 3, 5, 7, 31. Prime factorization of 39060 in exponential form is:

39060 = 2² × 3² × 5¹ × 7¹ × 31¹

Step-3: Factors of 39045

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

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

Step-4: Factors of 39060

List of positive integer factors of 39060 that divides 39045 without a remainder.

1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 31, 35, 36, 42, 45, 60, 62, 63, 70, 84, 90, 93, 105, 124, 126, 140, 155, 180, 186, 210, 217, 252, 279, 310, 315, 372, 420, 434, 465, 558, 620, 630, 651, 868, 930, 1085, 1116, 1260, 1302, 1395, 1860, 1953, 2170, 2604, 2790, 3255, 3906, 4340, 5580, 6510, 7812, 9765, 13020, 19530

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39045 and 39060. The biggest common factor number is the GCF number.
So the greatest common factor 39045 and 39060 is 15.

Also check out the Least Common Multiple of 39045 and 39060