What is the Greatest Common Factor of 74585 and 74595?

Greatest common factor (GCF) of 74585 and 74595 is 5.

GCF(74585,74595) = 5

We will now calculate the prime factors of 74585 and 74595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 74585 and 74595.

How to find the GCF of 74585 and 74595?

We will first find the prime factorization of 74585 and 74595. After we will calculate the factors of 74585 and 74595 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 74595

Prime factors of 74595 are 3, 5, 4973. Prime factorization of 74595 in exponential form is:

74595 = 3¹ × 5¹ × 4973¹

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 74595

List of positive integer factors of 74595 that divides 74585 without a remainder.

1, 3, 5, 15, 4973, 14919, 24865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 74585 and 74595. The biggest common factor number is the GCF number.
So the greatest common factor 74585 and 74595 is 5.

Also check out the Least Common Multiple of 74585 and 74595