What is the Greatest Common Factor of 43710 and 43730?

Greatest common factor (GCF) of 43710 and 43730 is 10.

GCF(43710,43730) = 10

We will now calculate the prime factors of 43710 and 43730, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43710 and 43730.

How to find the GCF of 43710 and 43730?

We will first find the prime factorization of 43710 and 43730. After we will calculate the factors of 43710 and 43730 and find the biggest common factor number .

Step-1: Prime Factorization of 43710

Prime factors of 43710 are 2, 3, 5, 31, 47. Prime factorization of 43710 in exponential form is:

43710 = 2¹ × 3¹ × 5¹ × 31¹ × 47¹

Step-2: Prime Factorization of 43730

Prime factors of 43730 are 2, 5, 4373. Prime factorization of 43730 in exponential form is:

43730 = 2¹ × 5¹ × 4373¹

Step-3: Factors of 43710

List of positive integer factors of 43710 that divides 43710 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 47, 62, 93, 94, 141, 155, 186, 235, 282, 310, 465, 470, 705, 930, 1410, 1457, 2914, 4371, 7285, 8742, 14570, 21855

Step-4: Factors of 43730

List of positive integer factors of 43730 that divides 43710 without a remainder.

1, 2, 5, 10, 4373, 8746, 21865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43710 and 43730. The biggest common factor number is the GCF number.
So the greatest common factor 43710 and 43730 is 10.

Also check out the Least Common Multiple of 43710 and 43730