What is the Greatest Common Factor of 97870 and 97875?

Greatest common factor (GCF) of 97870 and 97875 is 5.

GCF(97870,97875) = 5

We will now calculate the prime factors of 97870 and 97875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97870 and 97875.

How to find the GCF of 97870 and 97875?

We will first find the prime factorization of 97870 and 97875. After we will calculate the factors of 97870 and 97875 and find the biggest common factor number .

Step-1: Prime Factorization of 97870

Prime factors of 97870 are 2, 5, 9787. Prime factorization of 97870 in exponential form is:

97870 = 2¹ × 5¹ × 9787¹

Step-2: Prime Factorization of 97875

Prime factors of 97875 are 3, 5, 29. Prime factorization of 97875 in exponential form is:

97875 = 3³ × 5³ × 29¹

Step-3: Factors of 97870

List of positive integer factors of 97870 that divides 97870 without a remainder.

1, 2, 5, 10, 9787, 19574, 48935

Step-4: Factors of 97875

List of positive integer factors of 97875 that divides 97870 without a remainder.

1, 3, 5, 9, 15, 25, 27, 29, 45, 75, 87, 125, 135, 145, 225, 261, 375, 435, 675, 725, 783, 1125, 1305, 2175, 3375, 3625, 3915, 6525, 10875, 19575, 32625

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97870 and 97875. The biggest common factor number is the GCF number.
So the greatest common factor 97870 and 97875 is 5.

Also check out the Least Common Multiple of 97870 and 97875