Greatest Common Factor of 8452 and 8456

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 8452, 8456 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8452 and 8456 is 4.

GCF(8452,8456) = 4

GCF of 8452 and 8456

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

GCF of:
and

Greatest Common Factor of 8452 and 8456

GCF of 8452 and 8456 is 4

Prime Factorization of 8452


2 8452
2 4226
2113 2113
1

Prime factors of 8452 are 2,2113. Prime factorization of 8452 in exponential form is:

8452 = 22×21131

Prime Factorization of 8456


2 8456
2 4228
2 2114
7 1057
151 151
1

Prime factors of 8456 are 2,7,151. Prime factorization of 8456 in exponential form is:

8456 = 23×71×1511

∴ So by taking common prime factors GCF of 8452 and 8456 is 4

Greatest Common Factor of 8452 and 8456 by matching factors method

Factors of 8452

List of positive integer factors of 8452 that divides 8452 without a remainder.

1,2,4,2113,4226,8452

Factors of 8456

List of positive integer factors of 8456 that divides 8456 without a remainder.

1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456

Greatest Common Factor

We found the factors and prime factorization of 8452 and 8456. The biggest common factor number is the GCF number.
So the greatest common factor 8452 and 8456 is 4.

Also check out the Least Common Multiple of 8452 and 8456

Properties of GCF 8452 and 8456

(i) The GCF of 8452 and 8456 is associative

GCF of 8452 and 8456 = GCF of 8456 and 8452

Related Greatest Common Factor of 8452

Related Greatest Common Factor of 8456

Frequently Asked Questions on GCF of 8452 and 8456

1. What is the GCF of 8452 and 8456?

Answer: GCF of 8452 and 8456 is 4.

2. What are the Factors of 8452?

Answer: Factors of 8452 are 1, 2, 4, 2113, 4226, 8452. There are 6 integers that are factors of 8452. The greatest factor of 8452 is 8452.

3. What are the Factors of 8456?

Answer: Factors of 8456 are 1, 2, 4, 7, 8, 14, 28, 56, 151, 302, 604, 1057, 1208, 2114, 4228, 8456. There are 16 integers that are factors of 8456. The greatest factor of 8456 is 8456.

4. How to Find the GCF of 8452 and 8456?

Answer:

Greatest Common Factor of 8452 and 8456 = 4

Step 1: Find the prime factorization of 8452

8452 = 2 x 2 x 2113

Step 2: Find the prime factorization of 8456

8456 = 2 x 2 x 2 x 7 x 151

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 8452 and 8456 is 4