What is the Greatest Common Factor of 39780 and 39798?

Greatest common factor (GCF) of 39780 and 39798 is 18.

GCF(39780,39798) = 18

We will now calculate the prime factors of 39780 and 39798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39780 and 39798.

How to find the GCF of 39780 and 39798?

We will first find the prime factorization of 39780 and 39798. After we will calculate the factors of 39780 and 39798 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 39798

Prime factors of 39798 are 2, 3, 11, 67. Prime factorization of 39798 in exponential form is:

39798 = 2¹ × 3³ × 11¹ × 67¹

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 39798

List of positive integer factors of 39798 that divides 39780 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 67, 99, 134, 198, 201, 297, 402, 594, 603, 737, 1206, 1474, 1809, 2211, 3618, 4422, 6633, 13266, 19899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39780 and 39798. The biggest common factor number is the GCF number.
So the greatest common factor 39780 and 39798 is 18.

Also check out the Least Common Multiple of 39780 and 39798