What is the Greatest Common Factor of 35208 and 35214?

Greatest common factor (GCF) of 35208 and 35214 is 6.

GCF(35208,35214) = 6

We will now calculate the prime factors of 35208 and 35214, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 35208 and 35214.

How to find the GCF of 35208 and 35214?

We will first find the prime factorization of 35208 and 35214. After we will calculate the factors of 35208 and 35214 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 35214

Prime factors of 35214 are 2, 3, 5869. Prime factorization of 35214 in exponential form is:

35214 = 2¹ × 3¹ × 5869¹

Step-3: Factors of 35208

List of positive integer factors of 35208 that divides 35208 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

Step-4: Factors of 35214

List of positive integer factors of 35214 that divides 35208 without a remainder.

1, 2, 3, 6, 5869, 11738, 17607

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 35208 and 35214. The biggest common factor number is the GCF number.
So the greatest common factor 35208 and 35214 is 6.

Also check out the Least Common Multiple of 35208 and 35214