What is the Greatest Common Factor of 97075 and 97094?

Greatest common factor (GCF) of 97075 and 97094 is 1.

GCF(97075,97094) = 1

We will now calculate the prime factors of 97075 and 97094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97075 and 97094.

How to find the GCF of 97075 and 97094?

We will first find the prime factorization of 97075 and 97094. After we will calculate the factors of 97075 and 97094 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 97094

Prime factors of 97094 are 2, 43, 1129. Prime factorization of 97094 in exponential form is:

97094 = 2¹ × 43¹ × 1129¹

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 97094

List of positive integer factors of 97094 that divides 97075 without a remainder.

1, 2, 43, 86, 1129, 2258, 48547

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97075 and 97094. The biggest common factor number is the GCF number.
So the greatest common factor 97075 and 97094 is 1.

Also check out the Least Common Multiple of 97075 and 97094