What is the Greatest Common Factor of 39704 and 39708?

Greatest common factor (GCF) of 39704 and 39708 is 4.

GCF(39704,39708) = 4

We will now calculate the prime factors of 39704 and 39708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 39704 and 39708.

How to find the GCF of 39704 and 39708?

We will first find the prime factorization of 39704 and 39708. After we will calculate the factors of 39704 and 39708 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 39708

Prime factors of 39708 are 2, 3, 1103. Prime factorization of 39708 in exponential form is:

39708 = 2² × 3² × 1103¹

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 39708

List of positive integer factors of 39708 that divides 39704 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1103, 2206, 3309, 4412, 6618, 9927, 13236, 19854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 39704 and 39708. The biggest common factor number is the GCF number.
So the greatest common factor 39704 and 39708 is 4.

Also check out the Least Common Multiple of 39704 and 39708