What is the Greatest Common Factor of 73460 and 73474?

Greatest common factor (GCF) of 73460 and 73474 is 2.

GCF(73460,73474) = 2

We will now calculate the prime factors of 73460 and 73474, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73460 and 73474.

How to find the GCF of 73460 and 73474?

We will first find the prime factorization of 73460 and 73474. After we will calculate the factors of 73460 and 73474 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 73474

Prime factors of 73474 are 2, 17, 2161. Prime factorization of 73474 in exponential form is:

73474 = 2¹ × 17¹ × 2161¹

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 73474

List of positive integer factors of 73474 that divides 73460 without a remainder.

1, 2, 17, 34, 2161, 4322, 36737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73460 and 73474. The biggest common factor number is the GCF number.
So the greatest common factor 73460 and 73474 is 2.

Also check out the Least Common Multiple of 73460 and 73474