What is the Greatest Common Factor of 97080 and 97095?

Greatest common factor (GCF) of 97080 and 97095 is 15.

GCF(97080,97095) = 15

We will now calculate the prime factors of 97080 and 97095, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97080 and 97095.

How to find the GCF of 97080 and 97095?

We will first find the prime factorization of 97080 and 97095. After we will calculate the factors of 97080 and 97095 and find the biggest common factor number .

Step-1: Prime Factorization of 97080

Prime factors of 97080 are 2, 3, 5, 809. Prime factorization of 97080 in exponential form is:

97080 = 2³ × 3¹ × 5¹ × 809¹

Step-2: Prime Factorization of 97095

Prime factors of 97095 are 3, 5, 6473. Prime factorization of 97095 in exponential form is:

97095 = 3¹ × 5¹ × 6473¹

Step-3: Factors of 97080

List of positive integer factors of 97080 that divides 97080 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 809, 1618, 2427, 3236, 4045, 4854, 6472, 8090, 9708, 12135, 16180, 19416, 24270, 32360, 48540

Step-4: Factors of 97095

List of positive integer factors of 97095 that divides 97080 without a remainder.

1, 3, 5, 15, 6473, 19419, 32365

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97080 and 97095. The biggest common factor number is the GCF number.
So the greatest common factor 97080 and 97095 is 15.

Also check out the Least Common Multiple of 97080 and 97095