What is the Greatest Common Factor of 43425 and 43442?

Greatest common factor (GCF) of 43425 and 43442 is 1.

GCF(43425,43442) = 1

We will now calculate the prime factors of 43425 and 43442, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 43425 and 43442.

How to find the GCF of 43425 and 43442?

We will first find the prime factorization of 43425 and 43442. After we will calculate the factors of 43425 and 43442 and find the biggest common factor number .

Step-1: Prime Factorization of 43425

Prime factors of 43425 are 3, 5, 193. Prime factorization of 43425 in exponential form is:

43425 = 3² × 5² × 193¹

Step-2: Prime Factorization of 43442

Prime factors of 43442 are 2, 7, 29, 107. Prime factorization of 43442 in exponential form is:

43442 = 2¹ × 7¹ × 29¹ × 107¹

Step-3: Factors of 43425

List of positive integer factors of 43425 that divides 43425 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 193, 225, 579, 965, 1737, 2895, 4825, 8685, 14475

Step-4: Factors of 43442

List of positive integer factors of 43442 that divides 43425 without a remainder.

1, 2, 7, 14, 29, 58, 107, 203, 214, 406, 749, 1498, 3103, 6206, 21721

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 43425 and 43442. The biggest common factor number is the GCF number.
So the greatest common factor 43425 and 43442 is 1.

Also check out the Least Common Multiple of 43425 and 43442