What is the Greatest Common Factor of 97875 and 97890?

Greatest common factor (GCF) of 97875 and 97890 is 15.

GCF(97875,97890) = 15

We will now calculate the prime factors of 97875 and 97890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 97875 and 97890.

How to find the GCF of 97875 and 97890?

We will first find the prime factorization of 97875 and 97890. After we will calculate the factors of 97875 and 97890 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 97890

Prime factors of 97890 are 2, 3, 5, 13, 251. Prime factorization of 97890 in exponential form is:

97890 = 2¹ × 3¹ × 5¹ × 13¹ × 251¹

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 97890

List of positive integer factors of 97890 that divides 97875 without a remainder.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 251, 390, 502, 753, 1255, 1506, 2510, 3263, 3765, 6526, 7530, 9789, 16315, 19578, 32630, 48945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 97875 and 97890. The biggest common factor number is the GCF number.
So the greatest common factor 97875 and 97890 is 15.

Also check out the Least Common Multiple of 97875 and 97890