What is the Greatest Common Factor of 97284 and 97295?

Greatest common factor (GCF) of 97284 and 97295 is 11.

GCF(97284,97295) = 11

We will now calculate the prime factors of 97284 and 97295, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97284 and 97295.

How to find the GCF of 97284 and 97295?

We will first find the prime factorization of 97284 and 97295. After we will calculate the factors of 97284 and 97295 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 97295

Prime factors of 97295 are 5, 11, 29, 61. Prime factorization of 97295 in exponential form is:

97295 = 5¹ × 11¹ × 29¹ × 61¹

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 97295

List of positive integer factors of 97295 that divides 97284 without a remainder.

1, 5, 11, 29, 55, 61, 145, 305, 319, 671, 1595, 1769, 3355, 8845, 19459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97284 and 97295. The biggest common factor number is the GCF number.
So the greatest common factor 97284 and 97295 is 11.

Also check out the Least Common Multiple of 97284 and 97295