What is the Greatest Common Factor of 644 and 653?

Greatest common factor (GCF) of 644 and 653 is 1.

GCF(644,653) = 1

We will now calculate the prime factors of 644 and 653, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 644 and 653.

How to find the GCF of 644 and 653?

We will first find the prime factorization of 644 and 653. After we will calculate the factors of 644 and 653 and find the biggest common factor number .

Step-1: Prime Factorization of 644

Prime factors of 644 are 2, 7, 23. Prime factorization of 644 in exponential form is:

644 = 2² × 7¹ × 23¹

Step-2: Prime Factorization of 653

Prime factors of 653 are 653. Prime factorization of 653 in exponential form is:

653 = 653¹

Step-3: Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322

Step-4: Factors of 653

List of positive integer factors of 653 that divides 644 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 644 and 653. The biggest common factor number is the GCF number.
So the greatest common factor 644 and 653 is 1.

Also check out the Least Common Multiple of 644 and 653