What is the Greatest Common Factor of 19628 and 19638?

Greatest common factor (GCF) of 19628 and 19638 is 2.

GCF(19628,19638) = 2

We will now calculate the prime factors of 19628 and 19638, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19628 and 19638.

How to find the GCF of 19628 and 19638?

We will first find the prime factorization of 19628 and 19638. After we will calculate the factors of 19628 and 19638 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 19638

Prime factors of 19638 are 2, 3, 1091. Prime factorization of 19638 in exponential form is:

19638 = 2¹ × 3² × 1091¹

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 19638

List of positive integer factors of 19638 that divides 19628 without a remainder.

1, 2, 3, 6, 9, 18, 1091, 2182, 3273, 6546, 9819

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19628 and 19638. The biggest common factor number is the GCF number.
So the greatest common factor 19628 and 19638 is 2.

Also check out the Least Common Multiple of 19628 and 19638