What is the Greatest Common Factor of 97075 and 97091?

Greatest common factor (GCF) of 97075 and 97091 is 1.

GCF(97075,97091) = 1

We will now calculate the prime factors of 97075 and 97091, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97075 and 97091.

How to find the GCF of 97075 and 97091?

We will first find the prime factorization of 97075 and 97091. After we will calculate the factors of 97075 and 97091 and find the biggest common factor number .

Step-1: Prime Factorization of 97075

Prime factors of 97075 are 5, 11, 353. Prime factorization of 97075 in exponential form is:

97075 = 5² × 11¹ × 353¹

Step-2: Prime Factorization of 97091

Prime factors of 97091 are 79, 1229. Prime factorization of 97091 in exponential form is:

97091 = 79¹ × 1229¹

Step-3: Factors of 97075

List of positive integer factors of 97075 that divides 97075 without a remainder.

1, 5, 11, 25, 55, 275, 353, 1765, 3883, 8825, 19415

Step-4: Factors of 97091

List of positive integer factors of 97091 that divides 97075 without a remainder.

1, 79, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97075 and 97091. The biggest common factor number is the GCF number.
So the greatest common factor 97075 and 97091 is 1.

Also check out the Least Common Multiple of 97075 and 97091