What is the Greatest Common Factor of 19638 and 19651?

Greatest common factor (GCF) of 19638 and 19651 is 1.

GCF(19638,19651) = 1

We will now calculate the prime factors of 19638 and 19651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19638 and 19651.

How to find the GCF of 19638 and 19651?

We will first find the prime factorization of 19638 and 19651. After we will calculate the factors of 19638 and 19651 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 19651

Prime factors of 19651 are 43, 457. Prime factorization of 19651 in exponential form is:

19651 = 43¹ × 457¹

Step-3: Factors of 19638

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

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

Step-4: Factors of 19651

List of positive integer factors of 19651 that divides 19638 without a remainder.

1, 43, 457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19638 and 19651. The biggest common factor number is the GCF number.
So the greatest common factor 19638 and 19651 is 1.

Also check out the Least Common Multiple of 19638 and 19651