What is the Greatest Common Factor of 19662 and 19678?

Greatest common factor (GCF) of 19662 and 19678 is 2.

GCF(19662,19678) = 2

We will now calculate the prime factors of 19662 and 19678, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19662 and 19678.

How to find the GCF of 19662 and 19678?

We will first find the prime factorization of 19662 and 19678. After we will calculate the factors of 19662 and 19678 and find the biggest common factor number .

Step-1: Prime Factorization of 19662

Prime factors of 19662 are 2, 3, 29, 113. Prime factorization of 19662 in exponential form is:

19662 = 2¹ × 3¹ × 29¹ × 113¹

Step-2: Prime Factorization of 19678

Prime factors of 19678 are 2, 9839. Prime factorization of 19678 in exponential form is:

19678 = 2¹ × 9839¹

Step-3: Factors of 19662

List of positive integer factors of 19662 that divides 19662 without a remainder.

1, 2, 3, 6, 29, 58, 87, 113, 174, 226, 339, 678, 3277, 6554, 9831

Step-4: Factors of 19678

List of positive integer factors of 19678 that divides 19662 without a remainder.

1, 2, 9839

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19662 and 19678. The biggest common factor number is the GCF number.
So the greatest common factor 19662 and 19678 is 2.

Also check out the Least Common Multiple of 19662 and 19678