What is the Greatest Common Factor of 97138 and 97149?

Greatest common factor (GCF) of 97138 and 97149 is 1.

GCF(97138,97149) = 1

We will now calculate the prime factors of 97138 and 97149, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97138 and 97149.

How to find the GCF of 97138 and 97149?

We will first find the prime factorization of 97138 and 97149. After we will calculate the factors of 97138 and 97149 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97149

Prime factors of 97149 are 3, 13, 47, 53. Prime factorization of 97149 in exponential form is:

97149 = 3¹ × 13¹ × 47¹ × 53¹

Step-3: Factors of 97138

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

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

Step-4: Factors of 97149

List of positive integer factors of 97149 that divides 97138 without a remainder.

1, 3, 13, 39, 47, 53, 141, 159, 611, 689, 1833, 2067, 2491, 7473, 32383

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97138 and 97149. The biggest common factor number is the GCF number.
So the greatest common factor 97138 and 97149 is 1.

Also check out the Least Common Multiple of 97138 and 97149