What is the Greatest Common Factor of 19497 and 19505?

Greatest common factor (GCF) of 19497 and 19505 is 1.

GCF(19497,19505) = 1

We will now calculate the prime factors of 19497 and 19505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19497 and 19505.

How to find the GCF of 19497 and 19505?

We will first find the prime factorization of 19497 and 19505. After we will calculate the factors of 19497 and 19505 and find the biggest common factor number .

Step-1: Prime Factorization of 19497

Prime factors of 19497 are 3, 67, 97. Prime factorization of 19497 in exponential form is:

19497 = 3¹ × 67¹ × 97¹

Step-2: Prime Factorization of 19505

Prime factors of 19505 are 5, 47, 83. Prime factorization of 19505 in exponential form is:

19505 = 5¹ × 47¹ × 83¹

Step-3: Factors of 19497

List of positive integer factors of 19497 that divides 19497 without a remainder.

1, 3, 67, 97, 201, 291, 6499

Step-4: Factors of 19505

List of positive integer factors of 19505 that divides 19497 without a remainder.

1, 5, 47, 83, 235, 415, 3901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19497 and 19505. The biggest common factor number is the GCF number.
So the greatest common factor 19497 and 19505 is 1.

Also check out the Least Common Multiple of 19497 and 19505