What is the Greatest Common Factor of 42840 and 42849?

Greatest common factor (GCF) of 42840 and 42849 is 9.

GCF(42840,42849) = 9

We will now calculate the prime factors of 42840 and 42849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42840 and 42849.

How to find the GCF of 42840 and 42849?

We will first find the prime factorization of 42840 and 42849. After we will calculate the factors of 42840 and 42849 and find the biggest common factor number .

Step-1: Prime Factorization of 42840

Prime factors of 42840 are 2, 3, 5, 7, 17. Prime factorization of 42840 in exponential form is:

42840 = 2³ × 3² × 5¹ × 7¹ × 17¹

Step-2: Prime Factorization of 42849

Prime factors of 42849 are 3, 23. Prime factorization of 42849 in exponential form is:

42849 = 3⁴ × 23²

Step-3: Factors of 42840

List of positive integer factors of 42840 that divides 42840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 14, 15, 17, 18, 20, 21, 24, 28, 30, 34, 35, 36, 40, 42, 45, 51, 56, 60, 63, 68, 70, 72, 84, 85, 90, 102, 105, 119, 120, 126, 136, 140, 153, 168, 170, 180, 204, 210, 238, 252, 255, 280, 306, 315, 340, 357, 360, 408, 420, 476, 504, 510, 595, 612, 630, 680, 714, 765, 840, 952, 1020, 1071, 1190, 1224, 1260, 1428, 1530, 1785, 2040, 2142, 2380, 2520, 2856, 3060, 3570, 4284, 4760, 5355, 6120, 7140, 8568, 10710, 14280, 21420

Step-4: Factors of 42849

List of positive integer factors of 42849 that divides 42840 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 529, 621, 1587, 1863, 4761, 14283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42840 and 42849. The biggest common factor number is the GCF number.
So the greatest common factor 42840 and 42849 is 9.

Also check out the Least Common Multiple of 42840 and 42849