What is the Greatest Common Factor of 41704 and 41708?

Greatest common factor (GCF) of 41704 and 41708 is 4.

GCF(41704,41708) = 4

We will now calculate the prime factors of 41704 and 41708, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41704 and 41708.

How to find the GCF of 41704 and 41708?

We will first find the prime factorization of 41704 and 41708. After we will calculate the factors of 41704 and 41708 and find the biggest common factor number .

Step-1: Prime Factorization of 41704

Prime factors of 41704 are 2, 13, 401. Prime factorization of 41704 in exponential form is:

41704 = 2³ × 13¹ × 401¹

Step-2: Prime Factorization of 41708

Prime factors of 41708 are 2, 10427. Prime factorization of 41708 in exponential form is:

41708 = 2² × 10427¹

Step-3: Factors of 41704

List of positive integer factors of 41704 that divides 41704 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 401, 802, 1604, 3208, 5213, 10426, 20852

Step-4: Factors of 41708

List of positive integer factors of 41708 that divides 41704 without a remainder.

1, 2, 4, 10427, 20854

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41704 and 41708. The biggest common factor number is the GCF number.
So the greatest common factor 41704 and 41708 is 4.

Also check out the Least Common Multiple of 41704 and 41708