What is the Greatest Common Factor of 97055 and 97075?

Greatest common factor (GCF) of 97055 and 97075 is 5.

GCF(97055,97075) = 5

We will now calculate the prime factors of 97055 and 97075, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97055 and 97075.

How to find the GCF of 97055 and 97075?

We will first find the prime factorization of 97055 and 97075. After we will calculate the factors of 97055 and 97075 and find the biggest common factor number .

Step-1: Prime Factorization of 97055

Prime factors of 97055 are 5, 7, 47, 59. Prime factorization of 97055 in exponential form is:

97055 = 5¹ × 7¹ × 47¹ × 59¹

Step-2: 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-3: Factors of 97055

List of positive integer factors of 97055 that divides 97055 without a remainder.

1, 5, 7, 35, 47, 59, 235, 295, 329, 413, 1645, 2065, 2773, 13865, 19411

Step-4: Factors of 97075

List of positive integer factors of 97075 that divides 97055 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97055 and 97075. The biggest common factor number is the GCF number.
So the greatest common factor 97055 and 97075 is 5.

Also check out the Least Common Multiple of 97055 and 97075