What is the Greatest Common Factor of 73460 and 73465?

Greatest common factor (GCF) of 73460 and 73465 is 5.

GCF(73460,73465) = 5

We will now calculate the prime factors of 73460 and 73465, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73460 and 73465.

How to find the GCF of 73460 and 73465?

We will first find the prime factorization of 73460 and 73465. After we will calculate the factors of 73460 and 73465 and find the biggest common factor number .

Step-1: Prime Factorization of 73460

Prime factors of 73460 are 2, 5, 3673. Prime factorization of 73460 in exponential form is:

73460 = 2² × 5¹ × 3673¹

Step-2: Prime Factorization of 73465

Prime factors of 73465 are 5, 7, 2099. Prime factorization of 73465 in exponential form is:

73465 = 5¹ × 7¹ × 2099¹

Step-3: Factors of 73460

List of positive integer factors of 73460 that divides 73460 without a remainder.

1, 2, 4, 5, 10, 20, 3673, 7346, 14692, 18365, 36730

Step-4: Factors of 73465

List of positive integer factors of 73465 that divides 73460 without a remainder.

1, 5, 7, 35, 2099, 10495, 14693

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73460 and 73465. The biggest common factor number is the GCF number.
So the greatest common factor 73460 and 73465 is 5.

Also check out the Least Common Multiple of 73460 and 73465