What is the Greatest Common Factor of 19668 and 19675?

Greatest common factor (GCF) of 19668 and 19675 is 1.

GCF(19668,19675) = 1

We will now calculate the prime factors of 19668 and 19675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19668 and 19675.

How to find the GCF of 19668 and 19675?

We will first find the prime factorization of 19668 and 19675. After we will calculate the factors of 19668 and 19675 and find the biggest common factor number .

Step-1: Prime Factorization of 19668

Prime factors of 19668 are 2, 3, 11, 149. Prime factorization of 19668 in exponential form is:

19668 = 2² × 3¹ × 11¹ × 149¹

Step-2: Prime Factorization of 19675

Prime factors of 19675 are 5, 787. Prime factorization of 19675 in exponential form is:

19675 = 5² × 787¹

Step-3: Factors of 19668

List of positive integer factors of 19668 that divides 19668 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 149, 298, 447, 596, 894, 1639, 1788, 3278, 4917, 6556, 9834

Step-4: Factors of 19675

List of positive integer factors of 19675 that divides 19668 without a remainder.

1, 5, 25, 787, 3935

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19668 and 19675. The biggest common factor number is the GCF number.
So the greatest common factor 19668 and 19675 is 1.

Also check out the Least Common Multiple of 19668 and 19675