What is the Greatest Common Factor of 75590 and 75605?

Greatest common factor (GCF) of 75590 and 75605 is 5.

GCF(75590,75605) = 5

We will now calculate the prime factors of 75590 and 75605, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 75590 and 75605.

How to find the GCF of 75590 and 75605?

We will first find the prime factorization of 75590 and 75605. After we will calculate the factors of 75590 and 75605 and find the biggest common factor number .

Step-1: Prime Factorization of 75590

Prime factors of 75590 are 2, 5, 7559. Prime factorization of 75590 in exponential form is:

75590 = 2¹ × 5¹ × 7559¹

Step-2: Prime Factorization of 75605

Prime factors of 75605 are 5, 15121. Prime factorization of 75605 in exponential form is:

75605 = 5¹ × 15121¹

Step-3: Factors of 75590

List of positive integer factors of 75590 that divides 75590 without a remainder.

1, 2, 5, 10, 7559, 15118, 37795

Step-4: Factors of 75605

List of positive integer factors of 75605 that divides 75590 without a remainder.

1, 5, 15121

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 75590 and 75605. The biggest common factor number is the GCF number.
So the greatest common factor 75590 and 75605 is 5.

Also check out the Least Common Multiple of 75590 and 75605