What is the Greatest Common Factor of 19660 and 19674?

Greatest common factor (GCF) of 19660 and 19674 is 2.

GCF(19660,19674) = 2

We will now calculate the prime factors of 19660 and 19674, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19660 and 19674.

How to find the GCF of 19660 and 19674?

We will first find the prime factorization of 19660 and 19674. After we will calculate the factors of 19660 and 19674 and find the biggest common factor number .

Step-1: Prime Factorization of 19660

Prime factors of 19660 are 2, 5, 983. Prime factorization of 19660 in exponential form is:

19660 = 2² × 5¹ × 983¹

Step-2: Prime Factorization of 19674

Prime factors of 19674 are 2, 3, 1093. Prime factorization of 19674 in exponential form is:

19674 = 2¹ × 3² × 1093¹

Step-3: Factors of 19660

List of positive integer factors of 19660 that divides 19660 without a remainder.

1, 2, 4, 5, 10, 20, 983, 1966, 3932, 4915, 9830

Step-4: Factors of 19674

List of positive integer factors of 19674 that divides 19660 without a remainder.

1, 2, 3, 6, 9, 18, 1093, 2186, 3279, 6558, 9837

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19660 and 19674. The biggest common factor number is the GCF number.
So the greatest common factor 19660 and 19674 is 2.

Also check out the Least Common Multiple of 19660 and 19674