What is the Greatest Common Factor of 97909 and 97913?

Greatest common factor (GCF) of 97909 and 97913 is 1.

GCF(97909,97913) = 1

We will now calculate the prime factors of 97909 and 97913, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97909 and 97913.

How to find the GCF of 97909 and 97913?

We will first find the prime factorization of 97909 and 97913. After we will calculate the factors of 97909 and 97913 and find the biggest common factor number .

Step-1: Prime Factorization of 97909

Prime factors of 97909 are 7, 71, 197. Prime factorization of 97909 in exponential form is:

97909 = 7¹ × 71¹ × 197¹

Step-2: Prime Factorization of 97913

Prime factors of 97913 are 179, 547. Prime factorization of 97913 in exponential form is:

97913 = 179¹ × 547¹

Step-3: Factors of 97909

List of positive integer factors of 97909 that divides 97909 without a remainder.

1, 7, 71, 197, 497, 1379, 13987

Step-4: Factors of 97913

List of positive integer factors of 97913 that divides 97909 without a remainder.

1, 179, 547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97909 and 97913. The biggest common factor number is the GCF number.
So the greatest common factor 97909 and 97913 is 1.

Also check out the Least Common Multiple of 97909 and 97913