What is the Greatest Common Factor of 97080 and 97088?

Greatest common factor (GCF) of 97080 and 97088 is 8.

GCF(97080,97088) = 8

We will now calculate the prime factors of 97080 and 97088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97080 and 97088.

How to find the GCF of 97080 and 97088?

We will first find the prime factorization of 97080 and 97088. After we will calculate the factors of 97080 and 97088 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 97088

Prime factors of 97088 are 2, 37, 41. Prime factorization of 97088 in exponential form is:

97088 = 2⁶ × 37¹ × 41¹

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 97088

List of positive integer factors of 97088 that divides 97080 without a remainder.

1, 2, 4, 8, 16, 32, 37, 41, 64, 74, 82, 148, 164, 296, 328, 592, 656, 1184, 1312, 1517, 2368, 2624, 3034, 6068, 12136, 24272, 48544

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97080 and 97088. The biggest common factor number is the GCF number.
So the greatest common factor 97080 and 97088 is 8.

Also check out the Least Common Multiple of 97080 and 97088