What is the Greatest Common Factor of 97895 and 97909?

Greatest common factor (GCF) of 97895 and 97909 is 7.

GCF(97895,97909) = 7

We will now calculate the prime factors of 97895 and 97909, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97895 and 97909.

How to find the GCF of 97895 and 97909?

We will first find the prime factorization of 97895 and 97909. After we will calculate the factors of 97895 and 97909 and find the biggest common factor number .

Step-1: Prime Factorization of 97895

Prime factors of 97895 are 5, 7, 2797. Prime factorization of 97895 in exponential form is:

97895 = 5¹ × 7¹ × 2797¹

Step-2: 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-3: Factors of 97895

List of positive integer factors of 97895 that divides 97895 without a remainder.

1, 5, 7, 35, 2797, 13985, 19579

Step-4: Factors of 97909

List of positive integer factors of 97909 that divides 97895 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97895 and 97909. The biggest common factor number is the GCF number.
So the greatest common factor 97895 and 97909 is 7.

Also check out the Least Common Multiple of 97895 and 97909