What is the Greatest Common Factor of 43690 and 43710?

Greatest common factor (GCF) of 43690 and 43710 is 10.

GCF(43690,43710) = 10

We will now calculate the prime factors of 43690 and 43710, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43690 and 43710.

How to find the GCF of 43690 and 43710?

We will first find the prime factorization of 43690 and 43710. After we will calculate the factors of 43690 and 43710 and find the biggest common factor number .

Step-1: Prime Factorization of 43690

Prime factors of 43690 are 2, 5, 17, 257. Prime factorization of 43690 in exponential form is:

43690 = 2¹ × 5¹ × 17¹ × 257¹

Step-2: 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-3: Factors of 43690

List of positive integer factors of 43690 that divides 43690 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170, 257, 514, 1285, 2570, 4369, 8738, 21845

Step-4: Factors of 43710

List of positive integer factors of 43710 that divides 43690 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43690 and 43710. The biggest common factor number is the GCF number.
So the greatest common factor 43690 and 43710 is 10.

Also check out the Least Common Multiple of 43690 and 43710