What is the Greatest Common Factor of 43710 and 43720?

Greatest common factor (GCF) of 43710 and 43720 is 10.

GCF(43710,43720) = 10

We will now calculate the prime factors of 43710 and 43720, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43710 and 43720.

How to find the GCF of 43710 and 43720?

We will first find the prime factorization of 43710 and 43720. After we will calculate the factors of 43710 and 43720 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 43720

Prime factors of 43720 are 2, 5, 1093. Prime factorization of 43720 in exponential form is:

43720 = 2³ × 5¹ × 1093¹

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 43720

List of positive integer factors of 43720 that divides 43710 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 1093, 2186, 4372, 5465, 8744, 10930, 21860

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43710 and 43720. The biggest common factor number is the GCF number.
So the greatest common factor 43710 and 43720 is 10.

Also check out the Least Common Multiple of 43710 and 43720