What is the Greatest Common Factor of 97875 and 97892?

Greatest common factor (GCF) of 97875 and 97892 is 1.

GCF(97875,97892) = 1

We will now calculate the prime factors of 97875 and 97892, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97875 and 97892.

How to find the GCF of 97875 and 97892?

We will first find the prime factorization of 97875 and 97892. After we will calculate the factors of 97875 and 97892 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 97892

Prime factors of 97892 are 2, 24473. Prime factorization of 97892 in exponential form is:

97892 = 2² × 24473¹

Step-3: Factors of 97875

List of positive integer factors of 97875 that divides 97875 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

Step-4: Factors of 97892

List of positive integer factors of 97892 that divides 97875 without a remainder.

1, 2, 4, 24473, 48946

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97875 and 97892. The biggest common factor number is the GCF number.
So the greatest common factor 97875 and 97892 is 1.

Also check out the Least Common Multiple of 97875 and 97892