What is the Greatest Common Factor of 97795 and 97805?

Greatest common factor (GCF) of 97795 and 97805 is 5.

GCF(97795,97805) = 5

We will now calculate the prime factors of 97795 and 97805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97795 and 97805.

How to find the GCF of 97795 and 97805?

We will first find the prime factorization of 97795 and 97805. After we will calculate the factors of 97795 and 97805 and find the biggest common factor number .

Step-1: Prime Factorization of 97795

Prime factors of 97795 are 5, 19559. Prime factorization of 97795 in exponential form is:

97795 = 5¹ × 19559¹

Step-2: Prime Factorization of 97805

Prime factors of 97805 are 5, 31, 631. Prime factorization of 97805 in exponential form is:

97805 = 5¹ × 31¹ × 631¹

Step-3: Factors of 97795

List of positive integer factors of 97795 that divides 97795 without a remainder.

1, 5, 19559

Step-4: Factors of 97805

List of positive integer factors of 97805 that divides 97795 without a remainder.

1, 5, 31, 155, 631, 3155, 19561

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97795 and 97805. The biggest common factor number is the GCF number.
So the greatest common factor 97795 and 97805 is 5.

Also check out the Least Common Multiple of 97795 and 97805