What is the Greatest Common Factor of 97119 and 97138?

Greatest common factor (GCF) of 97119 and 97138 is 1.

GCF(97119,97138) = 1

We will now calculate the prime factors of 97119 and 97138, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97119 and 97138.

How to find the GCF of 97119 and 97138?

We will first find the prime factorization of 97119 and 97138. After we will calculate the factors of 97119 and 97138 and find the biggest common factor number .

Step-1: Prime Factorization of 97119

Prime factors of 97119 are 3, 11, 109. Prime factorization of 97119 in exponential form is:

97119 = 3⁴ × 11¹ × 109¹

Step-2: Prime Factorization of 97138

Prime factors of 97138 are 2, 17, 2857. Prime factorization of 97138 in exponential form is:

97138 = 2¹ × 17¹ × 2857¹

Step-3: Factors of 97119

List of positive integer factors of 97119 that divides 97119 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 109, 297, 327, 891, 981, 1199, 2943, 3597, 8829, 10791, 32373

Step-4: Factors of 97138

List of positive integer factors of 97138 that divides 97119 without a remainder.

1, 2, 17, 34, 2857, 5714, 48569

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97119 and 97138. The biggest common factor number is the GCF number.
So the greatest common factor 97119 and 97138 is 1.

Also check out the Least Common Multiple of 97119 and 97138