What is the Greatest Common Factor of 39491 and 39505?

Greatest common factor (GCF) of 39491 and 39505 is 1.

GCF(39491,39505) = 1

We will now calculate the prime factors of 39491 and 39505, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39491 and 39505.

How to find the GCF of 39491 and 39505?

We will first find the prime factorization of 39491 and 39505. After we will calculate the factors of 39491 and 39505 and find the biggest common factor number .

Step-1: Prime Factorization of 39491

Prime factors of 39491 are 17, 23, 101. Prime factorization of 39491 in exponential form is:

39491 = 17¹ × 23¹ × 101¹

Step-2: Prime Factorization of 39505

Prime factors of 39505 are 5, 7901. Prime factorization of 39505 in exponential form is:

39505 = 5¹ × 7901¹

Step-3: Factors of 39491

List of positive integer factors of 39491 that divides 39491 without a remainder.

1, 17, 23, 101, 391, 1717, 2323

Step-4: Factors of 39505

List of positive integer factors of 39505 that divides 39491 without a remainder.

1, 5, 7901

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39491 and 39505. The biggest common factor number is the GCF number.
So the greatest common factor 39491 and 39505 is 1.

Also check out the Least Common Multiple of 39491 and 39505