What is the Greatest Common Factor of 39565 and 39575?

Greatest common factor (GCF) of 39565 and 39575 is 5.

GCF(39565,39575) = 5

We will now calculate the prime factors of 39565 and 39575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39565 and 39575.

How to find the GCF of 39565 and 39575?

We will first find the prime factorization of 39565 and 39575. After we will calculate the factors of 39565 and 39575 and find the biggest common factor number .

Step-1: Prime Factorization of 39565

Prime factors of 39565 are 5, 41, 193. Prime factorization of 39565 in exponential form is:

39565 = 5¹ × 41¹ × 193¹

Step-2: Prime Factorization of 39575

Prime factors of 39575 are 5, 1583. Prime factorization of 39575 in exponential form is:

39575 = 5² × 1583¹

Step-3: Factors of 39565

List of positive integer factors of 39565 that divides 39565 without a remainder.

1, 5, 41, 193, 205, 965, 7913

Step-4: Factors of 39575

List of positive integer factors of 39575 that divides 39565 without a remainder.

1, 5, 25, 1583, 7915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39565 and 39575. The biggest common factor number is the GCF number.
So the greatest common factor 39565 and 39575 is 5.

Also check out the Least Common Multiple of 39565 and 39575