Greatest Common Factor of 39204 and 39208

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 39204, 39208 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 39204 and 39208 is 4.

GCF(39204,39208) = 4

GCF of 39204 and 39208

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

GCF of:
and

Greatest Common Factor of 39204 and 39208

GCF of 39204 and 39208 is 4

Prime Factorization of 39204


2 39204
2 19602
3 9801
3 3267
3 1089
3 363
11 121
11 11
1

Prime factors of 39204 are 2,3,11. Prime factorization of 39204 in exponential form is:

39204 = 22×34×112

Prime Factorization of 39208


2 39208
2 19604
2 9802
13 4901
13 377
29 29
1

Prime factors of 39208 are 2,13,29. Prime factorization of 39208 in exponential form is:

39208 = 23×132×291

∴ So by taking common prime factors GCF of 39204 and 39208 is 4

Greatest Common Factor of 39204 and 39208 by matching factors method

Factors of 39204

List of positive integer factors of 39204 that divides 39204 without a remainder.

1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,81,99,108,121,132,162,198,242,297,324,363,396,484,594,726,891,1089,1188,1452,1782,2178,3267,3564,4356,6534,9801,13068,19602,39204

Factors of 39208

List of positive integer factors of 39208 that divides 39208 without a remainder.

1,2,4,8,13,26,29,52,58,104,116,169,232,338,377,676,754,1352,1508,3016,4901,9802,19604,39208

Greatest Common Factor

We found the factors and prime factorization of 39204 and 39208. The biggest common factor number is the GCF number.
So the greatest common factor 39204 and 39208 is 4.

Also check out the Least Common Multiple of 39204 and 39208

Properties of GCF 39204 and 39208

(i) The GCF of 39204 and 39208 is associative

GCF of 39204 and 39208 = GCF of 39208 and 39204

Related Greatest Common Factor of 39204

Related Greatest Common Factor of 39208

Frequently Asked Questions on GCF of 39204 and 39208

1. What is the GCF of 39204 and 39208?

Answer: GCF of 39204 and 39208 is 4.

2. What are the Factors of 39204?

Answer: Factors of 39204 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 54, 66, 81, 99, 108, 121, 132, 162, 198, 242, 297, 324, 363, 396, 484, 594, 726, 891, 1089, 1188, 1452, 1782, 2178, 3267, 3564, 4356, 6534, 9801, 13068, 19602, 39204. There are 45 integers that are factors of 39204. The greatest factor of 39204 is 39204.

3. What are the Factors of 39208?

Answer: Factors of 39208 are 1, 2, 4, 8, 13, 26, 29, 52, 58, 104, 116, 169, 232, 338, 377, 676, 754, 1352, 1508, 3016, 4901, 9802, 19604, 39208. There are 24 integers that are factors of 39208. The greatest factor of 39208 is 39208.

4. How to Find the GCF of 39204 and 39208?

Answer:

Greatest Common Factor of 39204 and 39208 = 4

Step 1: Find the prime factorization of 39204

39204 = 2 x 2 x 3 x 3 x 3 x 3 x 11 x 11

Step 2: Find the prime factorization of 39208

39208 = 2 x 2 x 2 x 13 x 13 x 29

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 39204 and 39208 is 4