What is the Greatest Common Factor of 73875 and 73890?

Greatest common factor (GCF) of 73875 and 73890 is 15.

GCF(73875,73890) = 15

We will now calculate the prime factors of 73875 and 73890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73875 and 73890.

How to find the GCF of 73875 and 73890?

We will first find the prime factorization of 73875 and 73890. After we will calculate the factors of 73875 and 73890 and find the biggest common factor number .

Step-1: Prime Factorization of 73875

Prime factors of 73875 are 3, 5, 197. Prime factorization of 73875 in exponential form is:

73875 = 3¹ × 5³ × 197¹

Step-2: Prime Factorization of 73890

Prime factors of 73890 are 2, 3, 5, 821. Prime factorization of 73890 in exponential form is:

73890 = 2¹ × 3² × 5¹ × 821¹

Step-3: Factors of 73875

List of positive integer factors of 73875 that divides 73875 without a remainder.

1, 3, 5, 15, 25, 75, 125, 197, 375, 591, 985, 2955, 4925, 14775, 24625

Step-4: Factors of 73890

List of positive integer factors of 73890 that divides 73875 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 821, 1642, 2463, 4105, 4926, 7389, 8210, 12315, 14778, 24630, 36945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73875 and 73890. The biggest common factor number is the GCF number.
So the greatest common factor 73875 and 73890 is 15.

Also check out the Least Common Multiple of 73875 and 73890