What is the Greatest Common Factor of 73860 and 73875?

Greatest common factor (GCF) of 73860 and 73875 is 15.

GCF(73860,73875) = 15

We will now calculate the prime factors of 73860 and 73875, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73860 and 73875.

How to find the GCF of 73860 and 73875?

We will first find the prime factorization of 73860 and 73875. After we will calculate the factors of 73860 and 73875 and find the biggest common factor number .

Step-1: Prime Factorization of 73860

Prime factors of 73860 are 2, 3, 5, 1231. Prime factorization of 73860 in exponential form is:

73860 = 2² × 3¹ × 5¹ × 1231¹

Step-2: 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-3: Factors of 73860

List of positive integer factors of 73860 that divides 73860 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1231, 2462, 3693, 4924, 6155, 7386, 12310, 14772, 18465, 24620, 36930

Step-4: Factors of 73875

List of positive integer factors of 73875 that divides 73860 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73860 and 73875. The biggest common factor number is the GCF number.
So the greatest common factor 73860 and 73875 is 15.

Also check out the Least Common Multiple of 73860 and 73875