What is the Greatest Common Factor of 97149 and 97165?

Greatest common factor (GCF) of 97149 and 97165 is 1.

GCF(97149,97165) = 1

We will now calculate the prime factors of 97149 and 97165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97149 and 97165.

How to find the GCF of 97149 and 97165?

We will first find the prime factorization of 97149 and 97165. After we will calculate the factors of 97149 and 97165 and find the biggest common factor number .

Step-1: Prime Factorization of 97149

Prime factors of 97149 are 3, 13, 47, 53. Prime factorization of 97149 in exponential form is:

97149 = 3¹ × 13¹ × 47¹ × 53¹

Step-2: Prime Factorization of 97165

Prime factors of 97165 are 5, 19433. Prime factorization of 97165 in exponential form is:

97165 = 5¹ × 19433¹

Step-3: Factors of 97149

List of positive integer factors of 97149 that divides 97149 without a remainder.

1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383

Step-4: Factors of 97165

List of positive integer factors of 97165 that divides 97149 without a remainder.

1, 5, 19433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97149 and 97165. The biggest common factor number is the GCF number.
So the greatest common factor 97149 and 97165 is 1.

Also check out the Least Common Multiple of 97149 and 97165