What is the Greatest Common Factor of 97174 and 97185?

Greatest common factor (GCF) of 97174 and 97185 is 11.

GCF(97174,97185) = 11

We will now calculate the prime factors of 97174 and 97185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97174 and 97185.

How to find the GCF of 97174 and 97185?

We will first find the prime factorization of 97174 and 97185. After we will calculate the factors of 97174 and 97185 and find the biggest common factor number .

Step-1: Prime Factorization of 97174

Prime factors of 97174 are 2, 7, 11, 631. Prime factorization of 97174 in exponential form is:

97174 = 2¹ × 7¹ × 11¹ × 631¹

Step-2: Prime Factorization of 97185

Prime factors of 97185 are 3, 5, 11, 19, 31. Prime factorization of 97185 in exponential form is:

97185 = 3¹ × 5¹ × 11¹ × 19¹ × 31¹

Step-3: Factors of 97174

List of positive integer factors of 97174 that divides 97174 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154, 631, 1262, 4417, 6941, 8834, 13882, 48587

Step-4: Factors of 97185

List of positive integer factors of 97185 that divides 97174 without a remainder.

1, 3, 5, 11, 15, 19, 31, 33, 55, 57, 93, 95, 155, 165, 209, 285, 341, 465, 589, 627, 1023, 1045, 1705, 1767, 2945, 3135, 5115, 6479, 8835, 19437, 32395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97174 and 97185. The biggest common factor number is the GCF number.
So the greatest common factor 97174 and 97185 is 11.

Also check out the Least Common Multiple of 97174 and 97185