What is the Greatest Common Factor of 97075 and 97086?

Greatest common factor (GCF) of 97075 and 97086 is 11.

GCF(97075,97086) = 11

We will now calculate the prime factors of 97075 and 97086, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97075 and 97086.

How to find the GCF of 97075 and 97086?

We will first find the prime factorization of 97075 and 97086. After we will calculate the factors of 97075 and 97086 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 97086

Prime factors of 97086 are 2, 3, 11, 1471. Prime factorization of 97086 in exponential form is:

97086 = 2¹ × 3¹ × 11¹ × 1471¹

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 97086

List of positive integer factors of 97086 that divides 97075 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 1471, 2942, 4413, 8826, 16181, 32362, 48543

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97075 and 97086. The biggest common factor number is the GCF number.
So the greatest common factor 97075 and 97086 is 11.

Also check out the Least Common Multiple of 97075 and 97086