What is the Greatest Common Factor of 97284 and 97297?

Greatest common factor (GCF) of 97284 and 97297 is 1.

GCF(97284,97297) = 1

We will now calculate the prime factors of 97284 and 97297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97284 and 97297.

How to find the GCF of 97284 and 97297?

We will first find the prime factorization of 97284 and 97297. After we will calculate the factors of 97284 and 97297 and find the biggest common factor number .

Step-1: Prime Factorization of 97284

Prime factors of 97284 are 2, 3, 11, 67. Prime factorization of 97284 in exponential form is:

97284 = 2² × 3¹ × 11² × 67¹

Step-2: Prime Factorization of 97297

Prime factors of 97297 are 149, 653. Prime factorization of 97297 in exponential form is:

97297 = 149¹ × 653¹

Step-3: Factors of 97284

List of positive integer factors of 97284 that divides 97284 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 67, 121, 132, 134, 201, 242, 268, 363, 402, 484, 726, 737, 804, 1452, 1474, 2211, 2948, 4422, 8107, 8844, 16214, 24321, 32428, 48642

Step-4: Factors of 97297

List of positive integer factors of 97297 that divides 97284 without a remainder.

1, 149, 653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97284 and 97297. The biggest common factor number is the GCF number.
So the greatest common factor 97284 and 97297 is 1.

Also check out the Least Common Multiple of 97284 and 97297