What is the Greatest Common Factor of 43290 and 43301?

Greatest common factor (GCF) of 43290 and 43301 is 1.

GCF(43290,43301) = 1

We will now calculate the prime factors of 43290 and 43301, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43290 and 43301.

How to find the GCF of 43290 and 43301?

We will first find the prime factorization of 43290 and 43301. After we will calculate the factors of 43290 and 43301 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 43301

Prime factors of 43301 are 19, 43, 53. Prime factorization of 43301 in exponential form is:

43301 = 19¹ × 43¹ × 53¹

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 43301

List of positive integer factors of 43301 that divides 43290 without a remainder.

1, 19, 43, 53, 817, 1007, 2279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43290 and 43301. The biggest common factor number is the GCF number.
So the greatest common factor 43290 and 43301 is 1.

Also check out the Least Common Multiple of 43290 and 43301