What is the Greatest Common Factor of 19575 and 19587?

Greatest common factor (GCF) of 19575 and 19587 is 3.

GCF(19575,19587) = 3

We will now calculate the prime factors of 19575 and 19587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19575 and 19587.

How to find the GCF of 19575 and 19587?

We will first find the prime factorization of 19575 and 19587. After we will calculate the factors of 19575 and 19587 and find the biggest common factor number .

Step-1: Prime Factorization of 19575

Prime factors of 19575 are 3, 5, 29. Prime factorization of 19575 in exponential form is:

19575 = 3³ × 5² × 29¹

Step-2: Prime Factorization of 19587

Prime factors of 19587 are 3, 6529. Prime factorization of 19587 in exponential form is:

19587 = 3¹ × 6529¹

Step-3: Factors of 19575

List of positive integer factors of 19575 that divides 19575 without a remainder.

1, 3, 5, 9, 15, 25, 27, 29, 45, 75, 87, 135, 145, 225, 261, 435, 675, 725, 783, 1305, 2175, 3915, 6525

Step-4: Factors of 19587

List of positive integer factors of 19587 that divides 19575 without a remainder.

1, 3, 6529

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19575 and 19587. The biggest common factor number is the GCF number.
So the greatest common factor 19575 and 19587 is 3.

Also check out the Least Common Multiple of 19575 and 19587