What is the Greatest Common Factor of 43710 and 43723?

Greatest common factor (GCF) of 43710 and 43723 is 1.

GCF(43710,43723) = 1

We will now calculate the prime factors of 43710 and 43723, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43710 and 43723.

How to find the GCF of 43710 and 43723?

We will first find the prime factorization of 43710 and 43723. After we will calculate the factors of 43710 and 43723 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 43723

Prime factors of 43723 are 23, 1901. Prime factorization of 43723 in exponential form is:

43723 = 23¹ × 1901¹

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 43723

List of positive integer factors of 43723 that divides 43710 without a remainder.

1, 23, 1901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43710 and 43723. The biggest common factor number is the GCF number.
So the greatest common factor 43710 and 43723 is 1.

Also check out the Least Common Multiple of 43710 and 43723