What is the Greatest Common Factor of 19491 and 19497?

Greatest common factor (GCF) of 19491 and 19497 is 3.

GCF(19491,19497) = 3

We will now calculate the prime factors of 19491 and 19497, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19491 and 19497.

How to find the GCF of 19491 and 19497?

We will first find the prime factorization of 19491 and 19497. After we will calculate the factors of 19491 and 19497 and find the biggest common factor number .

Step-1: Prime Factorization of 19491

Prime factors of 19491 are 3, 73, 89. Prime factorization of 19491 in exponential form is:

19491 = 3¹ × 73¹ × 89¹

Step-2: 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-3: Factors of 19491

List of positive integer factors of 19491 that divides 19491 without a remainder.

1, 3, 73, 89, 219, 267, 6497

Step-4: Factors of 19497

List of positive integer factors of 19497 that divides 19491 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19491 and 19497. The biggest common factor number is the GCF number.
So the greatest common factor 19491 and 19497 is 3.

Also check out the Least Common Multiple of 19491 and 19497