What is the Greatest Common Factor of 39704 and 39719?

Greatest common factor (GCF) of 39704 and 39719 is 1.

GCF(39704,39719) = 1

We will now calculate the prime factors of 39704 and 39719, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39704 and 39719.

How to find the GCF of 39704 and 39719?

We will first find the prime factorization of 39704 and 39719. After we will calculate the factors of 39704 and 39719 and find the biggest common factor number .

Step-1: Prime Factorization of 39704

Prime factors of 39704 are 2, 7, 709. Prime factorization of 39704 in exponential form is:

39704 = 2³ × 7¹ × 709¹

Step-2: Prime Factorization of 39719

Prime factors of 39719 are 39719. Prime factorization of 39719 in exponential form is:

39719 = 39719¹

Step-3: Factors of 39704

List of positive integer factors of 39704 that divides 39704 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 709, 1418, 2836, 4963, 5672, 9926, 19852

Step-4: Factors of 39719

List of positive integer factors of 39719 that divides 39704 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39704 and 39719. The biggest common factor number is the GCF number.
So the greatest common factor 39704 and 39719 is 1.

Also check out the Least Common Multiple of 39704 and 39719