What is the Greatest Common Factor of 45443 and 45457?

Greatest common factor (GCF) of 45443 and 45457 is 1.

GCF(45443,45457) = 1

We will now calculate the prime factors of 45443 and 45457, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45443 and 45457.

How to find the GCF of 45443 and 45457?

We will first find the prime factorization of 45443 and 45457. After we will calculate the factors of 45443 and 45457 and find the biggest common factor number .

Step-1: Prime Factorization of 45443

Prime factors of 45443 are 29, 1567. Prime factorization of 45443 in exponential form is:

45443 = 29¹ × 1567¹

Step-2: Prime Factorization of 45457

Prime factors of 45457 are 131, 347. Prime factorization of 45457 in exponential form is:

45457 = 131¹ × 347¹

Step-3: Factors of 45443

List of positive integer factors of 45443 that divides 45443 without a remainder.

1, 29, 1567

Step-4: Factors of 45457

List of positive integer factors of 45457 that divides 45443 without a remainder.

1, 131, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45443 and 45457. The biggest common factor number is the GCF number.
So the greatest common factor 45443 and 45457 is 1.

Also check out the Least Common Multiple of 45443 and 45457