What is the Greatest Common Factor of 19524 and 19544?

Greatest common factor (GCF) of 19524 and 19544 is 4.

GCF(19524,19544) = 4

We will now calculate the prime factors of 19524 and 19544, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19524 and 19544.

How to find the GCF of 19524 and 19544?

We will first find the prime factorization of 19524 and 19544. After we will calculate the factors of 19524 and 19544 and find the biggest common factor number .

Step-1: Prime Factorization of 19524

Prime factors of 19524 are 2, 3, 1627. Prime factorization of 19524 in exponential form is:

19524 = 2² × 3¹ × 1627¹

Step-2: Prime Factorization of 19544

Prime factors of 19544 are 2, 7, 349. Prime factorization of 19544 in exponential form is:

19544 = 2³ × 7¹ × 349¹

Step-3: Factors of 19524

List of positive integer factors of 19524 that divides 19524 without a remainder.

1, 2, 3, 4, 6, 12, 1627, 3254, 4881, 6508, 9762

Step-4: Factors of 19544

List of positive integer factors of 19544 that divides 19524 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 349, 698, 1396, 2443, 2792, 4886, 9772

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19524 and 19544. The biggest common factor number is the GCF number.
So the greatest common factor 19524 and 19544 is 4.

Also check out the Least Common Multiple of 19524 and 19544