What is the Greatest Common Factor of 97084 and 97097?

Greatest common factor (GCF) of 97084 and 97097 is 13.

GCF(97084,97097) = 13

We will now calculate the prime factors of 97084 and 97097, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97084 and 97097.

How to find the GCF of 97084 and 97097?

We will first find the prime factorization of 97084 and 97097. After we will calculate the factors of 97084 and 97097 and find the biggest common factor number .

Step-1: Prime Factorization of 97084

Prime factors of 97084 are 2, 13, 1867. Prime factorization of 97084 in exponential form is:

97084 = 2² × 13¹ × 1867¹

Step-2: Prime Factorization of 97097

Prime factors of 97097 are 7, 11, 13, 97. Prime factorization of 97097 in exponential form is:

97097 = 7¹ × 11¹ × 13¹ × 97¹

Step-3: Factors of 97084

List of positive integer factors of 97084 that divides 97084 without a remainder.

1, 2, 4, 13, 26, 52, 1867, 3734, 7468, 24271, 48542

Step-4: Factors of 97097

List of positive integer factors of 97097 that divides 97084 without a remainder.

1, 7, 11, 13, 77, 91, 97, 143, 679, 1001, 1067, 1261, 7469, 8827, 13871

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97084 and 97097. The biggest common factor number is the GCF number.
So the greatest common factor 97084 and 97097 is 13.

Also check out the Least Common Multiple of 97084 and 97097