What is the Greatest Common Factor of 97159 and 97175?

Greatest common factor (GCF) of 97159 and 97175 is 1.

GCF(97159,97175) = 1

We will now calculate the prime factors of 97159 and 97175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97159 and 97175.

How to find the GCF of 97159 and 97175?

We will first find the prime factorization of 97159 and 97175. After we will calculate the factors of 97159 and 97175 and find the biggest common factor number .

Step-1: Prime Factorization of 97159

Prime factors of 97159 are 97159. Prime factorization of 97159 in exponential form is:

97159 = 97159¹

Step-2: Prime Factorization of 97175

Prime factors of 97175 are 5, 13, 23. Prime factorization of 97175 in exponential form is:

97175 = 5² × 13² × 23¹

Step-3: Factors of 97159

List of positive integer factors of 97159 that divides 97159 without a remainder.

Step-4: Factors of 97175

List of positive integer factors of 97175 that divides 97159 without a remainder.

1, 5, 13, 23, 25, 65, 115, 169, 299, 325, 575, 845, 1495, 3887, 4225, 7475, 19435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97159 and 97175. The biggest common factor number is the GCF number.
So the greatest common factor 97159 and 97175 is 1.

Also check out the Least Common Multiple of 97159 and 97175