What is the Greatest Common Factor of 42840 and 42860?

Greatest common factor (GCF) of 42840 and 42860 is 20.

GCF(42840,42860) = 20

We will now calculate the prime factors of 42840 and 42860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42840 and 42860.

How to find the GCF of 42840 and 42860?

We will first find the prime factorization of 42840 and 42860. After we will calculate the factors of 42840 and 42860 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 42860

Prime factors of 42860 are 2, 5, 2143. Prime factorization of 42860 in exponential form is:

42860 = 2² × 5¹ × 2143¹

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 42860

List of positive integer factors of 42860 that divides 42840 without a remainder.

1, 2, 4, 5, 10, 20, 2143, 4286, 8572, 10715, 21430

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42840 and 42860. The biggest common factor number is the GCF number.
So the greatest common factor 42840 and 42860 is 20.

Also check out the Least Common Multiple of 42840 and 42860