What is the Greatest Common Factor of 43290 and 43300?

Greatest common factor (GCF) of 43290 and 43300 is 10.

GCF(43290,43300) = 10

We will now calculate the prime factors of 43290 and 43300, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43290 and 43300.

How to find the GCF of 43290 and 43300?

We will first find the prime factorization of 43290 and 43300. After we will calculate the factors of 43290 and 43300 and find the biggest common factor number .

Step-1: Prime Factorization of 43290

Prime factors of 43290 are 2, 3, 5, 13, 37. Prime factorization of 43290 in exponential form is:

43290 = 2¹ × 3² × 5¹ × 13¹ × 37¹

Step-2: Prime Factorization of 43300

Prime factors of 43300 are 2, 5, 433. Prime factorization of 43300 in exponential form is:

43300 = 2² × 5² × 433¹

Step-3: Factors of 43290

List of positive integer factors of 43290 that divides 43290 without a remainder.

1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 30, 37, 39, 45, 65, 74, 78, 90, 111, 117, 130, 185, 195, 222, 234, 333, 370, 390, 481, 555, 585, 666, 962, 1110, 1170, 1443, 1665, 2405, 2886, 3330, 4329, 4810, 7215, 8658, 14430, 21645

Step-4: Factors of 43300

List of positive integer factors of 43300 that divides 43290 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 433, 866, 1732, 2165, 4330, 8660, 10825, 21650

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43290 and 43300. The biggest common factor number is the GCF number.
So the greatest common factor 43290 and 43300 is 10.

Also check out the Least Common Multiple of 43290 and 43300