What is the Greatest Common Factor of 19628 and 19645?

Greatest common factor (GCF) of 19628 and 19645 is 1.

GCF(19628,19645) = 1

We will now calculate the prime factors of 19628 and 19645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19628 and 19645.

How to find the GCF of 19628 and 19645?

We will first find the prime factorization of 19628 and 19645. After we will calculate the factors of 19628 and 19645 and find the biggest common factor number .

Step-1: Prime Factorization of 19628

Prime factors of 19628 are 2, 7, 701. Prime factorization of 19628 in exponential form is:

19628 = 2² × 7¹ × 701¹

Step-2: Prime Factorization of 19645

Prime factors of 19645 are 5, 3929. Prime factorization of 19645 in exponential form is:

19645 = 5¹ × 3929¹

Step-3: Factors of 19628

List of positive integer factors of 19628 that divides 19628 without a remainder.

1, 2, 4, 7, 14, 28, 701, 1402, 2804, 4907, 9814

Step-4: Factors of 19645

List of positive integer factors of 19645 that divides 19628 without a remainder.

1, 5, 3929

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19628 and 19645. The biggest common factor number is the GCF number.
So the greatest common factor 19628 and 19645 is 1.

Also check out the Least Common Multiple of 19628 and 19645