What is the Greatest Common Factor of 73365 and 73375?

Greatest common factor (GCF) of 73365 and 73375 is 5.

GCF(73365,73375) = 5

We will now calculate the prime factors of 73365 and 73375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73365 and 73375.

How to find the GCF of 73365 and 73375?

We will first find the prime factorization of 73365 and 73375. After we will calculate the factors of 73365 and 73375 and find the biggest common factor number .

Step-1: Prime Factorization of 73365

Prime factors of 73365 are 3, 5, 67, 73. Prime factorization of 73365 in exponential form is:

73365 = 3¹ × 5¹ × 67¹ × 73¹

Step-2: Prime Factorization of 73375

Prime factors of 73375 are 5, 587. Prime factorization of 73375 in exponential form is:

73375 = 5³ × 587¹

Step-3: Factors of 73365

List of positive integer factors of 73365 that divides 73365 without a remainder.

1, 3, 5, 15, 67, 73, 201, 219, 335, 365, 1005, 1095, 4891, 14673, 24455

Step-4: Factors of 73375

List of positive integer factors of 73375 that divides 73365 without a remainder.

1, 5, 25, 125, 587, 2935, 14675

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73365 and 73375. The biggest common factor number is the GCF number.
So the greatest common factor 73365 and 73375 is 5.

Also check out the Least Common Multiple of 73365 and 73375