What is the Greatest Common Factor of 43390 and 43407?

Greatest common factor (GCF) of 43390 and 43407 is 1.

GCF(43390,43407) = 1

We will now calculate the prime factors of 43390 and 43407, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43390 and 43407.

How to find the GCF of 43390 and 43407?

We will first find the prime factorization of 43390 and 43407. After we will calculate the factors of 43390 and 43407 and find the biggest common factor number .

Step-1: Prime Factorization of 43390

Prime factors of 43390 are 2, 5, 4339. Prime factorization of 43390 in exponential form is:

43390 = 2¹ × 5¹ × 4339¹

Step-2: Prime Factorization of 43407

Prime factors of 43407 are 3, 7, 13, 53. Prime factorization of 43407 in exponential form is:

43407 = 3² × 7¹ × 13¹ × 53¹

Step-3: Factors of 43390

List of positive integer factors of 43390 that divides 43390 without a remainder.

1, 2, 5, 10, 4339, 8678, 21695

Step-4: Factors of 43407

List of positive integer factors of 43407 that divides 43390 without a remainder.

1, 3, 7, 9, 13, 21, 39, 53, 63, 91, 117, 159, 273, 371, 477, 689, 819, 1113, 2067, 3339, 4823, 6201, 14469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43390 and 43407. The biggest common factor number is the GCF number.
So the greatest common factor 43390 and 43407 is 1.

Also check out the Least Common Multiple of 43390 and 43407