What is the Greatest Common Factor of 97097 and 97107?

Greatest common factor (GCF) of 97097 and 97107 is 1.

GCF(97097,97107) = 1

We will now calculate the prime factors of 97097 and 97107, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97097 and 97107.

How to find the GCF of 97097 and 97107?

We will first find the prime factorization of 97097 and 97107. After we will calculate the factors of 97097 and 97107 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97107

Prime factors of 97107 are 3, 32369. Prime factorization of 97107 in exponential form is:

97107 = 3¹ × 32369¹

Step-3: Factors of 97097

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

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

Step-4: Factors of 97107

List of positive integer factors of 97107 that divides 97097 without a remainder.

1, 3, 32369

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97097 and 97107. The biggest common factor number is the GCF number.
So the greatest common factor 97097 and 97107 is 1.

Also check out the Least Common Multiple of 97097 and 97107