What is the Greatest Common Factor of 74585 and 74605?

Greatest common factor (GCF) of 74585 and 74605 is 5.

GCF(74585,74605) = 5

We will now calculate the prime factors of 74585 and 74605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74585 and 74605.

How to find the GCF of 74585 and 74605?

We will first find the prime factorization of 74585 and 74605. After we will calculate the factors of 74585 and 74605 and find the biggest common factor number .

Step-1: Prime Factorization of 74585

Prime factors of 74585 are 5, 7, 2131. Prime factorization of 74585 in exponential form is:

74585 = 5¹ × 7¹ × 2131¹

Step-2: Prime Factorization of 74605

Prime factors of 74605 are 5, 43, 347. Prime factorization of 74605 in exponential form is:

74605 = 5¹ × 43¹ × 347¹

Step-3: Factors of 74585

List of positive integer factors of 74585 that divides 74585 without a remainder.

1, 5, 7, 35, 2131, 10655, 14917

Step-4: Factors of 74605

List of positive integer factors of 74605 that divides 74585 without a remainder.

1, 5, 43, 215, 347, 1735, 14921

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74585 and 74605. The biggest common factor number is the GCF number.
So the greatest common factor 74585 and 74605 is 5.

Also check out the Least Common Multiple of 74585 and 74605