What is the Greatest Common Factor of 43860 and 43865?

Greatest common factor (GCF) of 43860 and 43865 is 5.

GCF(43860,43865) = 5

We will now calculate the prime factors of 43860 and 43865, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43860 and 43865.

How to find the GCF of 43860 and 43865?

We will first find the prime factorization of 43860 and 43865. After we will calculate the factors of 43860 and 43865 and find the biggest common factor number .

Step-1: Prime Factorization of 43860

Prime factors of 43860 are 2, 3, 5, 17, 43. Prime factorization of 43860 in exponential form is:

43860 = 2² × 3¹ × 5¹ × 17¹ × 43¹

Step-2: Prime Factorization of 43865

Prime factors of 43865 are 5, 31, 283. Prime factorization of 43865 in exponential form is:

43865 = 5¹ × 31¹ × 283¹

Step-3: Factors of 43860

List of positive integer factors of 43860 that divides 43860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 30, 34, 43, 51, 60, 68, 85, 86, 102, 129, 170, 172, 204, 215, 255, 258, 340, 430, 510, 516, 645, 731, 860, 1020, 1290, 1462, 2193, 2580, 2924, 3655, 4386, 7310, 8772, 10965, 14620, 21930

Step-4: Factors of 43865

List of positive integer factors of 43865 that divides 43860 without a remainder.

1, 5, 31, 155, 283, 1415, 8773

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43860 and 43865. The biggest common factor number is the GCF number.
So the greatest common factor 43860 and 43865 is 5.

Also check out the Least Common Multiple of 43860 and 43865