What is the Greatest Common Factor of 45623 and 45633?

Greatest common factor (GCF) of 45623 and 45633 is 1.

GCF(45623,45633) = 1

We will now calculate the prime factors of 45623 and 45633, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45623 and 45633.

How to find the GCF of 45623 and 45633?

We will first find the prime factorization of 45623 and 45633. After we will calculate the factors of 45623 and 45633 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 45633

Prime factors of 45633 are 3, 7, 41, 53. Prime factorization of 45633 in exponential form is:

45633 = 3¹ × 7¹ × 41¹ × 53¹

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 45633

List of positive integer factors of 45633 that divides 45623 without a remainder.

1, 3, 7, 21, 41, 53, 123, 159, 287, 371, 861, 1113, 2173, 6519, 15211

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45623 and 45633. The biggest common factor number is the GCF number.
So the greatest common factor 45623 and 45633 is 1.

Also check out the Least Common Multiple of 45623 and 45633