What is the Greatest Common Factor of 19164 and 19180?

Greatest common factor (GCF) of 19164 and 19180 is 4.

GCF(19164,19180) = 4

We will now calculate the prime factors of 19164 and 19180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19164 and 19180.

How to find the GCF of 19164 and 19180?

We will first find the prime factorization of 19164 and 19180. After we will calculate the factors of 19164 and 19180 and find the biggest common factor number .

Step-1: Prime Factorization of 19164

Prime factors of 19164 are 2, 3, 1597. Prime factorization of 19164 in exponential form is:

19164 = 2² × 3¹ × 1597¹

Step-2: Prime Factorization of 19180

Prime factors of 19180 are 2, 5, 7, 137. Prime factorization of 19180 in exponential form is:

19180 = 2² × 5¹ × 7¹ × 137¹

Step-3: Factors of 19164

List of positive integer factors of 19164 that divides 19164 without a remainder.

1, 2, 3, 4, 6, 12, 1597, 3194, 4791, 6388, 9582

Step-4: Factors of 19180

List of positive integer factors of 19180 that divides 19164 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 137, 140, 274, 548, 685, 959, 1370, 1918, 2740, 3836, 4795, 9590

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19164 and 19180. The biggest common factor number is the GCF number.
So the greatest common factor 19164 and 19180 is 4.

Also check out the Least Common Multiple of 19164 and 19180