What is the Greatest Common Factor of 42840 and 42850?

Greatest common factor (GCF) of 42840 and 42850 is 10.

GCF(42840,42850) = 10

We will now calculate the prime factors of 42840 and 42850, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42840 and 42850.

How to find the GCF of 42840 and 42850?

We will first find the prime factorization of 42840 and 42850. After we will calculate the factors of 42840 and 42850 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 42850

Prime factors of 42850 are 2, 5, 857. Prime factorization of 42850 in exponential form is:

42850 = 2¹ × 5² × 857¹

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 42850

List of positive integer factors of 42850 that divides 42840 without a remainder.

1, 2, 5, 10, 25, 50, 857, 1714, 4285, 8570, 21425

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42840 and 42850. The biggest common factor number is the GCF number.
So the greatest common factor 42840 and 42850 is 10.

Also check out the Least Common Multiple of 42840 and 42850