What is the Greatest Common Factor of 45633 and 45653?

Greatest common factor (GCF) of 45633 and 45653 is 1.

GCF(45633,45653) = 1

We will now calculate the prime factors of 45633 and 45653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 45633 and 45653.

How to find the GCF of 45633 and 45653?

We will first find the prime factorization of 45633 and 45653. After we will calculate the factors of 45633 and 45653 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 45653

Prime factors of 45653 are 71, 643. Prime factorization of 45653 in exponential form is:

45653 = 71¹ × 643¹

Step-3: Factors of 45633

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

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

Step-4: Factors of 45653

List of positive integer factors of 45653 that divides 45633 without a remainder.

1, 71, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 45633 and 45653. The biggest common factor number is the GCF number.
So the greatest common factor 45633 and 45653 is 1.

Also check out the Least Common Multiple of 45633 and 45653