Greatest Common Factor of 8852 and 8854

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 8852, 8854 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8852 and 8854 is 2.

GCF(8852,8854) = 2

GCF of 8852 and 8854

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

GCF of:
and

Greatest Common Factor of 8852 and 8854

GCF of 8852 and 8854 is 2

Prime Factorization of 8852


2 8852
2 4426
2213 2213
1

Prime factors of 8852 are 2,2213. Prime factorization of 8852 in exponential form is:

8852 = 22×22131

Prime Factorization of 8854


2 8854
19 4427
233 233
1

Prime factors of 8854 are 2,19,233. Prime factorization of 8854 in exponential form is:

8854 = 21×191×2331

∴ So by taking common prime factors GCF of 8852 and 8854 is 2

Greatest Common Factor of 8852 and 8854 by matching factors method

Factors of 8852

List of positive integer factors of 8852 that divides 8852 without a remainder.

1,2,4,2213,4426,8852

Factors of 8854

List of positive integer factors of 8854 that divides 8854 without a remainder.

1,2,19,38,233,466,4427,8854

Greatest Common Factor

We found the factors and prime factorization of 8852 and 8854. The biggest common factor number is the GCF number.
So the greatest common factor 8852 and 8854 is 2.

Also check out the Least Common Multiple of 8852 and 8854

Properties of GCF 8852 and 8854

(i) The GCF of 8852 and 8854 is associative

GCF of 8852 and 8854 = GCF of 8854 and 8852

Related Greatest Common Factor of 8852

Related Greatest Common Factor of 8854

Frequently Asked Questions on GCF of 8852 and 8854

1. What is the GCF of 8852 and 8854?

Answer: GCF of 8852 and 8854 is 2.

2. What are the Factors of 8852?

Answer: Factors of 8852 are 1, 2, 4, 2213, 4426, 8852. There are 6 integers that are factors of 8852. The greatest factor of 8852 is 8852.

3. What are the Factors of 8854?

Answer: Factors of 8854 are 1, 2, 19, 38, 233, 466, 4427, 8854. There are 8 integers that are factors of 8854. The greatest factor of 8854 is 8854.

4. How to Find the GCF of 8852 and 8854?

Answer:

Greatest Common Factor of 8852 and 8854 = 2

Step 1: Find the prime factorization of 8852

8852 = 2 x 2 x 2213

Step 2: Find the prime factorization of 8854

8854 = 2 x 19 x 233

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 8852 and 8854 is 2