What is the Greatest Common Factor of 42840 and 42853?

Greatest common factor (GCF) of 42840 and 42853 is 1.

GCF(42840,42853) = 1

We will now calculate the prime factors of 42840 and 42853, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42840 and 42853.

How to find the GCF of 42840 and 42853?

We will first find the prime factorization of 42840 and 42853. After we will calculate the factors of 42840 and 42853 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 42853

Prime factors of 42853 are 42853. Prime factorization of 42853 in exponential form is:

42853 = 42853¹

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 42853

List of positive integer factors of 42853 that divides 42840 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42840 and 42853. The biggest common factor number is the GCF number.
So the greatest common factor 42840 and 42853 is 1.

Also check out the Least Common Multiple of 42840 and 42853