What is the Greatest Common Factor of 45407 and 45423?

Greatest common factor (GCF) of 45407 and 45423 is 1.

GCF(45407,45423) = 1

We will now calculate the prime factors of 45407 and 45423, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45407 and 45423.

How to find the GCF of 45407 and 45423?

We will first find the prime factorization of 45407 and 45423. After we will calculate the factors of 45407 and 45423 and find the biggest common factor number .

Step-1: Prime Factorization of 45407

Prime factors of 45407 are 17, 2671. Prime factorization of 45407 in exponential form is:

45407 = 17¹ × 2671¹

Step-2: Prime Factorization of 45423

Prime factors of 45423 are 3, 7, 103. Prime factorization of 45423 in exponential form is:

45423 = 3² × 7² × 103¹

Step-3: Factors of 45407

List of positive integer factors of 45407 that divides 45407 without a remainder.

1, 17, 2671

Step-4: Factors of 45423

List of positive integer factors of 45423 that divides 45407 without a remainder.

1, 3, 7, 9, 21, 49, 63, 103, 147, 309, 441, 721, 927, 2163, 5047, 6489, 15141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45407 and 45423. The biggest common factor number is the GCF number.
So the greatest common factor 45407 and 45423 is 1.

Also check out the Least Common Multiple of 45407 and 45423