What is the Greatest Common Factor of 19508 and 19512?

Greatest common factor (GCF) of 19508 and 19512 is 4.

GCF(19508,19512) = 4

We will now calculate the prime factors of 19508 and 19512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19508 and 19512.

How to find the GCF of 19508 and 19512?

We will first find the prime factorization of 19508 and 19512. After we will calculate the factors of 19508 and 19512 and find the biggest common factor number .

Step-1: Prime Factorization of 19508

Prime factors of 19508 are 2, 4877. Prime factorization of 19508 in exponential form is:

19508 = 2² × 4877¹

Step-2: Prime Factorization of 19512

Prime factors of 19512 are 2, 3, 271. Prime factorization of 19512 in exponential form is:

19512 = 2³ × 3² × 271¹

Step-3: Factors of 19508

List of positive integer factors of 19508 that divides 19508 without a remainder.

1, 2, 4, 4877, 9754

Step-4: Factors of 19512

List of positive integer factors of 19512 that divides 19508 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 271, 542, 813, 1084, 1626, 2168, 2439, 3252, 4878, 6504, 9756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19508 and 19512. The biggest common factor number is the GCF number.
So the greatest common factor 19508 and 19512 is 4.

Also check out the Least Common Multiple of 19508 and 19512