What is the Greatest Common Factor of 19509 and 19513?

Greatest common factor (GCF) of 19509 and 19513 is 1.

GCF(19509,19513) = 1

We will now calculate the prime factors of 19509 and 19513, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19509 and 19513.

How to find the GCF of 19509 and 19513?

We will first find the prime factorization of 19509 and 19513. After we will calculate the factors of 19509 and 19513 and find the biggest common factor number .

Step-1: Prime Factorization of 19509

Prime factors of 19509 are 3, 7, 929. Prime factorization of 19509 in exponential form is:

19509 = 3¹ × 7¹ × 929¹

Step-2: Prime Factorization of 19513

Prime factors of 19513 are 13, 19, 79. Prime factorization of 19513 in exponential form is:

19513 = 13¹ × 19¹ × 79¹

Step-3: Factors of 19509

List of positive integer factors of 19509 that divides 19509 without a remainder.

1, 3, 7, 21, 929, 2787, 6503

Step-4: Factors of 19513

List of positive integer factors of 19513 that divides 19509 without a remainder.

1, 13, 19, 79, 247, 1027, 1501

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19509 and 19513. The biggest common factor number is the GCF number.
So the greatest common factor 19509 and 19513 is 1.

Also check out the Least Common Multiple of 19509 and 19513