What is the Greatest Common Factor of 39780 and 39795?

Greatest common factor (GCF) of 39780 and 39795 is 15.

GCF(39780,39795) = 15

We will now calculate the prime factors of 39780 and 39795, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39780 and 39795.

How to find the GCF of 39780 and 39795?

We will first find the prime factorization of 39780 and 39795. After we will calculate the factors of 39780 and 39795 and find the biggest common factor number .

Step-1: Prime Factorization of 39780

Prime factors of 39780 are 2, 3, 5, 13, 17. Prime factorization of 39780 in exponential form is:

39780 = 2² × 3² × 5¹ × 13¹ × 17¹

Step-2: Prime Factorization of 39795

Prime factors of 39795 are 3, 5, 7, 379. Prime factorization of 39795 in exponential form is:

39795 = 3¹ × 5¹ × 7¹ × 379¹

Step-3: Factors of 39780

List of positive integer factors of 39780 that divides 39780 without a remainder.

1, 2, 3, 4, 5, 6, 9, 10, 12, 13, 15, 17, 18, 20, 26, 30, 34, 36, 39, 45, 51, 52, 60, 65, 68, 78, 85, 90, 102, 117, 130, 153, 156, 170, 180, 195, 204, 221, 234, 255, 260, 306, 340, 390, 442, 468, 510, 585, 612, 663, 765, 780, 884, 1020, 1105, 1170, 1326, 1530, 1989, 2210, 2340, 2652, 3060, 3315, 3978, 4420, 6630, 7956, 9945, 13260, 19890

Step-4: Factors of 39795

List of positive integer factors of 39795 that divides 39780 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 379, 1137, 1895, 2653, 5685, 7959, 13265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39780 and 39795. The biggest common factor number is the GCF number.
So the greatest common factor 39780 and 39795 is 15.

Also check out the Least Common Multiple of 39780 and 39795