Greatest Common Factor of 10202 and 10208

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 10202, 10208 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 10202 and 10208 is 2.

GCF(10202,10208) = 2

GCF of 10202 and 10208

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

GCF of:
and

Greatest Common Factor of 10202 and 10208

GCF of 10202 and 10208 is 2

Prime Factorization of 10202


2 10202
5101 5101
1

Prime factors of 10202 are 2,5101. Prime factorization of 10202 in exponential form is:

10202 = 21×51011

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

∴ So by taking common prime factors GCF of 10202 and 10208 is 2

Greatest Common Factor of 10202 and 10208 by matching factors method

Factors of 10202

List of positive integer factors of 10202 that divides 10202 without a remainder.

1,2,5101,10202

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

Greatest Common Factor

We found the factors and prime factorization of 10202 and 10208. The biggest common factor number is the GCF number.
So the greatest common factor 10202 and 10208 is 2.

Also check out the Least Common Multiple of 10202 and 10208

Properties of GCF 10202 and 10208

(i) The GCF of 10202 and 10208 is associative

GCF of 10202 and 10208 = GCF of 10208 and 10202

Related Greatest Common Factor of 10202

Related Greatest Common Factor of 10208

Frequently Asked Questions on GCF of 10202 and 10208

1. What is the GCF of 10202 and 10208?

Answer: GCF of 10202 and 10208 is 2.

2. What are the Factors of 10202?

Answer: Factors of 10202 are 1, 2, 5101, 10202. There are 4 integers that are factors of 10202. The greatest factor of 10202 is 10202.

3. 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.

4. How to Find the GCF of 10202 and 10208?

Answer:

Greatest Common Factor of 10202 and 10208 = 2

Step 1: Find the prime factorization of 10202

10202 = 2 x 5101

Step 2: Find the prime factorization of 10208

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

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

GCF = 2

Step 4: Therefore, the greatest common factor of 10202 and 10208 is 2