What is the Greatest Common Factor of 19564 and 19575?

Greatest common factor (GCF) of 19564 and 19575 is 1.

GCF(19564,19575) = 1

We will now calculate the prime factors of 19564 and 19575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19564 and 19575.

How to find the GCF of 19564 and 19575?

We will first find the prime factorization of 19564 and 19575. After we will calculate the factors of 19564 and 19575 and find the biggest common factor number .

Step-1: Prime Factorization of 19564

Prime factors of 19564 are 2, 67, 73. Prime factorization of 19564 in exponential form is:

19564 = 2² × 67¹ × 73¹

Step-2: 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-3: Factors of 19564

List of positive integer factors of 19564 that divides 19564 without a remainder.

1, 2, 4, 67, 73, 134, 146, 268, 292, 4891, 9782

Step-4: Factors of 19575

List of positive integer factors of 19575 that divides 19564 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19564 and 19575. The biggest common factor number is the GCF number.
So the greatest common factor 19564 and 19575 is 1.

Also check out the Least Common Multiple of 19564 and 19575