What is the Greatest Common Factor of 97805 and 97813?

Greatest common factor (GCF) of 97805 and 97813 is 1.

GCF(97805,97813) = 1

We will now calculate the prime factors of 97805 and 97813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97805 and 97813.

How to find the GCF of 97805 and 97813?

We will first find the prime factorization of 97805 and 97813. After we will calculate the factors of 97805 and 97813 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97813

Prime factors of 97813 are 97813. Prime factorization of 97813 in exponential form is:

97813 = 97813¹

Step-3: Factors of 97805

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

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

Step-4: Factors of 97813

List of positive integer factors of 97813 that divides 97805 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97805 and 97813. The biggest common factor number is the GCF number.
So the greatest common factor 97805 and 97813 is 1.

Also check out the Least Common Multiple of 97805 and 97813