What is the Greatest Common Factor of 97080 and 97100?

Greatest common factor (GCF) of 97080 and 97100 is 20.

GCF(97080,97100) = 20

We will now calculate the prime factors of 97080 and 97100, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97080 and 97100.

How to find the GCF of 97080 and 97100?

We will first find the prime factorization of 97080 and 97100. After we will calculate the factors of 97080 and 97100 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 97100

Prime factors of 97100 are 2, 5, 971. Prime factorization of 97100 in exponential form is:

97100 = 2² × 5² × 971¹

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 97100

List of positive integer factors of 97100 that divides 97080 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 971, 1942, 3884, 4855, 9710, 19420, 24275, 48550

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97080 and 97100. The biggest common factor number is the GCF number.
So the greatest common factor 97080 and 97100 is 20.

Also check out the Least Common Multiple of 97080 and 97100