What is the Greatest Common Factor of 73310 and 73325?

Greatest common factor (GCF) of 73310 and 73325 is 5.

GCF(73310,73325) = 5

We will now calculate the prime factors of 73310 and 73325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73310 and 73325.

How to find the GCF of 73310 and 73325?

We will first find the prime factorization of 73310 and 73325. After we will calculate the factors of 73310 and 73325 and find the biggest common factor number .

Step-1: Prime Factorization of 73310

Prime factors of 73310 are 2, 5, 7331. Prime factorization of 73310 in exponential form is:

73310 = 2¹ × 5¹ × 7331¹

Step-2: Prime Factorization of 73325

Prime factors of 73325 are 5, 7, 419. Prime factorization of 73325 in exponential form is:

73325 = 5² × 7¹ × 419¹

Step-3: Factors of 73310

List of positive integer factors of 73310 that divides 73310 without a remainder.

1, 2, 5, 10, 7331, 14662, 36655

Step-4: Factors of 73325

List of positive integer factors of 73325 that divides 73310 without a remainder.

1, 5, 7, 25, 35, 175, 419, 2095, 2933, 10475, 14665

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73310 and 73325. The biggest common factor number is the GCF number.
So the greatest common factor 73310 and 73325 is 5.

Also check out the Least Common Multiple of 73310 and 73325