Greatest Common Factor of 35208 and 35214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 35208, 35214 i.e. 6 largest integer by which both the numbers can be divided.

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

GCF(35208,35214) = 6

GCF of 35208 and 35214

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 35208 and 35214

GCF of 35208 and 35214 is 6

Prime Factorization of 35208


2 35208
2 17604
2 8802
3 4401
3 1467
3 489
163 163
1

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

35208 = 23×33×1631

Prime Factorization of 35214


2 35214
3 17607
5869 5869
1

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

35214 = 21×31×58691

∴ So by taking common prime factors GCF of 35208 and 35214 is 6

Greatest Common Factor of 35208 and 35214 by matching factors method

Factors of 35208

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

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,163,216,326,489,652,978,1304,1467,1956,2934,3912,4401,5868,8802,11736,17604,35208

Factors of 35214

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

1,2,3,6,5869,11738,17607,35214

Greatest Common Factor

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

Properties of GCF 35208 and 35214

(i) The GCF of 35208 and 35214 is associative

GCF of 35208 and 35214 = GCF of 35214 and 35208

Related Greatest Common Factor of 35208

Related Greatest Common Factor of 35214

Frequently Asked Questions on GCF of 35208 and 35214

1. What is the GCF of 35208 and 35214?

Answer: GCF of 35208 and 35214 is 6.

2. What are the Factors of 35208?

Answer: Factors of 35208 are 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, 35208. There are 32 integers that are factors of 35208. The greatest factor of 35208 is 35208.

3. What are the Factors of 35214?

Answer: Factors of 35214 are 1, 2, 3, 6, 5869, 11738, 17607, 35214. There are 8 integers that are factors of 35214. The greatest factor of 35214 is 35214.

4. How to Find the GCF of 35208 and 35214?

Answer:

Greatest Common Factor of 35208 and 35214 = 6

Step 1: Find the prime factorization of 35208

35208 = 2 x 2 x 2 x 3 x 3 x 3 x 163

Step 2: Find the prime factorization of 35214

35214 = 2 x 3 x 5869

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 35208 and 35214 is 6