What is the Greatest Common Factor of 39545 and 39565?

Greatest common factor (GCF) of 39545 and 39565 is 5.

GCF(39545,39565) = 5

We will now calculate the prime factors of 39545 and 39565, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39545 and 39565.

How to find the GCF of 39545 and 39565?

We will first find the prime factorization of 39545 and 39565. After we will calculate the factors of 39545 and 39565 and find the biggest common factor number .

Step-1: Prime Factorization of 39545

Prime factors of 39545 are 5, 11, 719. Prime factorization of 39545 in exponential form is:

39545 = 5¹ × 11¹ × 719¹

Step-2: 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-3: Factors of 39545

List of positive integer factors of 39545 that divides 39545 without a remainder.

1, 5, 11, 55, 719, 3595, 7909

Step-4: Factors of 39565

List of positive integer factors of 39565 that divides 39545 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39545 and 39565. The biggest common factor number is the GCF number.
So the greatest common factor 39545 and 39565 is 5.

Also check out the Least Common Multiple of 39545 and 39565