What is the Greatest Common Factor of 39704 and 39715?

Greatest common factor (GCF) of 39704 and 39715 is 1.

GCF(39704,39715) = 1

We will now calculate the prime factors of 39704 and 39715, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39704 and 39715.

How to find the GCF of 39704 and 39715?

We will first find the prime factorization of 39704 and 39715. After we will calculate the factors of 39704 and 39715 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 39715

Prime factors of 39715 are 5, 13, 47. Prime factorization of 39715 in exponential form is:

39715 = 5¹ × 13² × 47¹

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 39715

List of positive integer factors of 39715 that divides 39704 without a remainder.

1, 5, 13, 47, 65, 169, 235, 611, 845, 3055, 7943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39704 and 39715. The biggest common factor number is the GCF number.
So the greatest common factor 39704 and 39715 is 1.

Also check out the Least Common Multiple of 39704 and 39715