What is the Greatest Common Factor of 97006 and 97019?

Greatest common factor (GCF) of 97006 and 97019 is 13.

GCF(97006,97019) = 13

We will now calculate the prime factors of 97006 and 97019, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97006 and 97019.

How to find the GCF of 97006 and 97019?

We will first find the prime factorization of 97006 and 97019. After we will calculate the factors of 97006 and 97019 and find the biggest common factor number .

Step-1: Prime Factorization of 97006

Prime factors of 97006 are 2, 7, 13, 41. Prime factorization of 97006 in exponential form is:

97006 = 2¹ × 7¹ × 13² × 41¹

Step-2: Prime Factorization of 97019

Prime factors of 97019 are 13, 17, 439. Prime factorization of 97019 in exponential form is:

97019 = 13¹ × 17¹ × 439¹

Step-3: Factors of 97006

List of positive integer factors of 97006 that divides 97006 without a remainder.

1, 2, 7, 13, 14, 26, 41, 82, 91, 169, 182, 287, 338, 533, 574, 1066, 1183, 2366, 3731, 6929, 7462, 13858, 48503

Step-4: Factors of 97019

List of positive integer factors of 97019 that divides 97006 without a remainder.

1, 13, 17, 221, 439, 5707, 7463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97006 and 97019. The biggest common factor number is the GCF number.
So the greatest common factor 97006 and 97019 is 13.

Also check out the Least Common Multiple of 97006 and 97019