What is the Greatest Common Factor of 5645 and 5653?

Greatest common factor (GCF) of 5645 and 5653 is 1.

GCF(5645,5653) = 1

We will now calculate the prime factors of 5645 and 5653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5645 and 5653.

How to find the GCF of 5645 and 5653?

We will first find the prime factorization of 5645 and 5653. After we will calculate the factors of 5645 and 5653 and find the biggest common factor number .

Step-1: Prime Factorization of 5645

Prime factors of 5645 are 5, 1129. Prime factorization of 5645 in exponential form is:

5645 = 5¹ × 1129¹

Step-2: Prime Factorization of 5653

Prime factors of 5653 are 5653. Prime factorization of 5653 in exponential form is:

5653 = 5653¹

Step-3: Factors of 5645

List of positive integer factors of 5645 that divides 5645 without a remainder.

1, 5, 1129

Step-4: Factors of 5653

List of positive integer factors of 5653 that divides 5645 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5645 and 5653. The biggest common factor number is the GCF number.
So the greatest common factor 5645 and 5653 is 1.

Also check out the Least Common Multiple of 5645 and 5653