What is the Greatest Common Factor of 43490 and 43510?

Greatest common factor (GCF) of 43490 and 43510 is 10.

GCF(43490,43510) = 10

We will now calculate the prime factors of 43490 and 43510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43490 and 43510.

How to find the GCF of 43490 and 43510?

We will first find the prime factorization of 43490 and 43510. After we will calculate the factors of 43490 and 43510 and find the biggest common factor number .

Step-1: Prime Factorization of 43490

Prime factors of 43490 are 2, 5, 4349. Prime factorization of 43490 in exponential form is:

43490 = 2¹ × 5¹ × 4349¹

Step-2: Prime Factorization of 43510

Prime factors of 43510 are 2, 5, 19, 229. Prime factorization of 43510 in exponential form is:

43510 = 2¹ × 5¹ × 19¹ × 229¹

Step-3: Factors of 43490

List of positive integer factors of 43490 that divides 43490 without a remainder.

1, 2, 5, 10, 4349, 8698, 21745

Step-4: Factors of 43510

List of positive integer factors of 43510 that divides 43490 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190, 229, 458, 1145, 2290, 4351, 8702, 21755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43490 and 43510. The biggest common factor number is the GCF number.
So the greatest common factor 43490 and 43510 is 10.

Also check out the Least Common Multiple of 43490 and 43510