What is the Greatest Common Factor of 35204 and 35208?

Greatest common factor (GCF) of 35204 and 35208 is 4.

GCF(35204,35208) = 4

We will now calculate the prime factors of 35204 and 35208, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35204 and 35208.

How to find the GCF of 35204 and 35208?

We will first find the prime factorization of 35204 and 35208. After we will calculate the factors of 35204 and 35208 and find the biggest common factor number .

Step-1: Prime Factorization of 35204

Prime factors of 35204 are 2, 13, 677. Prime factorization of 35204 in exponential form is:

35204 = 2² × 13¹ × 677¹

Step-2: Prime Factorization of 35208

Prime factors of 35208 are 2, 3, 163. Prime factorization of 35208 in exponential form is:

35208 = 2³ × 3³ × 163¹

Step-3: Factors of 35204

List of positive integer factors of 35204 that divides 35204 without a remainder.

1, 2, 4, 13, 26, 52, 677, 1354, 2708, 8801, 17602

Step-4: Factors of 35208

List of positive integer factors of 35208 that divides 35204 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 163, 216, 326, 489, 652, 978, 1304, 1467, 1956, 2934, 3912, 4401, 5868, 8802, 11736, 17604

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35204 and 35208. The biggest common factor number is the GCF number.
So the greatest common factor 35204 and 35208 is 4.

Also check out the Least Common Multiple of 35204 and 35208