What is the Greatest Common Factor of 19638 and 19652?

Greatest common factor (GCF) of 19638 and 19652 is 2.

GCF(19638,19652) = 2

We will now calculate the prime factors of 19638 and 19652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19638 and 19652.

How to find the GCF of 19638 and 19652?

We will first find the prime factorization of 19638 and 19652. After we will calculate the factors of 19638 and 19652 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 19652

Prime factors of 19652 are 2, 17. Prime factorization of 19652 in exponential form is:

19652 = 2² × 17³

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 19652

List of positive integer factors of 19652 that divides 19638 without a remainder.

1, 2, 4, 17, 34, 68, 289, 578, 1156, 4913, 9826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19638 and 19652. The biggest common factor number is the GCF number.
So the greatest common factor 19638 and 19652 is 2.

Also check out the Least Common Multiple of 19638 and 19652