What is the Greatest Common Factor of 97287 and 97299?

Greatest common factor (GCF) of 97287 and 97299 is 3.

GCF(97287,97299) = 3

We will now calculate the prime factors of 97287 and 97299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97287 and 97299.

How to find the GCF of 97287 and 97299?

We will first find the prime factorization of 97287 and 97299. After we will calculate the factors of 97287 and 97299 and find the biggest common factor number .

Step-1: Prime Factorization of 97287

Prime factors of 97287 are 3, 32429. Prime factorization of 97287 in exponential form is:

97287 = 3¹ × 32429¹

Step-2: Prime Factorization of 97299

Prime factors of 97299 are 3, 19, 569. Prime factorization of 97299 in exponential form is:

97299 = 3² × 19¹ × 569¹

Step-3: Factors of 97287

List of positive integer factors of 97287 that divides 97287 without a remainder.

1, 3, 32429

Step-4: Factors of 97299

List of positive integer factors of 97299 that divides 97287 without a remainder.

1, 3, 9, 19, 57, 171, 569, 1707, 5121, 10811, 32433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97287 and 97299. The biggest common factor number is the GCF number.
So the greatest common factor 97287 and 97299 is 3.

Also check out the Least Common Multiple of 97287 and 97299