What is the Greatest Common Factor of 97460 and 97465?

Greatest common factor (GCF) of 97460 and 97465 is 5.

GCF(97460,97465) = 5

We will now calculate the prime factors of 97460 and 97465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97460 and 97465.

How to find the GCF of 97460 and 97465?

We will first find the prime factorization of 97460 and 97465. After we will calculate the factors of 97460 and 97465 and find the biggest common factor number .

Step-1: Prime Factorization of 97460

Prime factors of 97460 are 2, 5, 11, 443. Prime factorization of 97460 in exponential form is:

97460 = 2² × 5¹ × 11¹ × 443¹

Step-2: Prime Factorization of 97465

Prime factors of 97465 are 5, 101, 193. Prime factorization of 97465 in exponential form is:

97465 = 5¹ × 101¹ × 193¹

Step-3: Factors of 97460

List of positive integer factors of 97460 that divides 97460 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 443, 886, 1772, 2215, 4430, 4873, 8860, 9746, 19492, 24365, 48730

Step-4: Factors of 97465

List of positive integer factors of 97465 that divides 97460 without a remainder.

1, 5, 101, 193, 505, 965, 19493

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97460 and 97465. The biggest common factor number is the GCF number.
So the greatest common factor 97460 and 97465 is 5.

Also check out the Least Common Multiple of 97460 and 97465