Greatest Common Factor of 10208 and 10212

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 10208, 10212 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10208 and 10212 is 4.

GCF(10208,10212) = 4

GCF of 10208 and 10212

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

GCF of:
and

Greatest Common Factor of 10208 and 10212

GCF of 10208 and 10212 is 4

Prime Factorization of 10208


2 10208
2 5104
2 2552
2 1276
2 638
11 319
29 29
1

Prime factors of 10208 are 2,11,29. Prime factorization of 10208 in exponential form is:

10208 = 25×111×291

Prime Factorization of 10212


2 10212
2 5106
3 2553
23 851
37 37
1

Prime factors of 10212 are 2,3,23,37. Prime factorization of 10212 in exponential form is:

10212 = 22×31×231×371

∴ So by taking common prime factors GCF of 10208 and 10212 is 4

Greatest Common Factor of 10208 and 10212 by matching factors method

Factors of 10208

List of positive integer factors of 10208 that divides 10208 without a remainder.

1,2,4,8,11,16,22,29,32,44,58,88,116,176,232,319,352,464,638,928,1276,2552,5104,10208

Factors of 10212

List of positive integer factors of 10212 that divides 10212 without a remainder.

1,2,3,4,6,12,23,37,46,69,74,92,111,138,148,222,276,444,851,1702,2553,3404,5106,10212

Greatest Common Factor

We found the factors and prime factorization of 10208 and 10212. The biggest common factor number is the GCF number.
So the greatest common factor 10208 and 10212 is 4.

Also check out the Least Common Multiple of 10208 and 10212

Properties of GCF 10208 and 10212

(i) The GCF of 10208 and 10212 is associative

GCF of 10208 and 10212 = GCF of 10212 and 10208

Related Greatest Common Factor of 10208

Related Greatest Common Factor of 10212

Frequently Asked Questions on GCF of 10208 and 10212

1. What is the GCF of 10208 and 10212?

Answer: GCF of 10208 and 10212 is 4.

2. What are the Factors of 10208?

Answer: Factors of 10208 are 1, 2, 4, 8, 11, 16, 22, 29, 32, 44, 58, 88, 116, 176, 232, 319, 352, 464, 638, 928, 1276, 2552, 5104, 10208. There are 24 integers that are factors of 10208. The greatest factor of 10208 is 10208.

3. What are the Factors of 10212?

Answer: Factors of 10212 are 1, 2, 3, 4, 6, 12, 23, 37, 46, 69, 74, 92, 111, 138, 148, 222, 276, 444, 851, 1702, 2553, 3404, 5106, 10212. There are 24 integers that are factors of 10212. The greatest factor of 10212 is 10212.

4. How to Find the GCF of 10208 and 10212?

Answer:

Greatest Common Factor of 10208 and 10212 = 4

Step 1: Find the prime factorization of 10208

10208 = 2 x 2 x 2 x 2 x 2 x 11 x 29

Step 2: Find the prime factorization of 10212

10212 = 2 x 2 x 3 x 23 x 37

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 10208 and 10212 is 4