What is the Greatest Common Factor of 45623 and 45638?

Greatest common factor (GCF) of 45623 and 45638 is 1.

GCF(45623,45638) = 1

We will now calculate the prime factors of 45623 and 45638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45623 and 45638.

How to find the GCF of 45623 and 45638?

We will first find the prime factorization of 45623 and 45638. After we will calculate the factors of 45623 and 45638 and find the biggest common factor number .

Step-1: Prime Factorization of 45623

Prime factors of 45623 are 43, 1061. Prime factorization of 45623 in exponential form is:

45623 = 43¹ × 1061¹

Step-2: Prime Factorization of 45638

Prime factors of 45638 are 2, 19, 1201. Prime factorization of 45638 in exponential form is:

45638 = 2¹ × 19¹ × 1201¹

Step-3: Factors of 45623

List of positive integer factors of 45623 that divides 45623 without a remainder.

1, 43, 1061

Step-4: Factors of 45638

List of positive integer factors of 45638 that divides 45623 without a remainder.

1, 2, 19, 38, 1201, 2402, 22819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45623 and 45638. The biggest common factor number is the GCF number.
So the greatest common factor 45623 and 45638 is 1.

Also check out the Least Common Multiple of 45623 and 45638