Greatest Common Factor of 5452 and 5456

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 5452, 5456 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5452 and 5456 is 4.

GCF(5452,5456) = 4

GCF of 5452 and 5456

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

GCF of:
and

Greatest Common Factor of 5452 and 5456

GCF of 5452 and 5456 is 4

Prime Factorization of 5452


2 5452
2 2726
29 1363
47 47
1

Prime factors of 5452 are 2,29,47. Prime factorization of 5452 in exponential form is:

5452 = 22×291×471

Prime Factorization of 5456


2 5456
2 2728
2 1364
2 682
11 341
31 31
1

Prime factors of 5456 are 2,11,31. Prime factorization of 5456 in exponential form is:

5456 = 24×111×311

∴ So by taking common prime factors GCF of 5452 and 5456 is 4

Greatest Common Factor of 5452 and 5456 by matching factors method

Factors of 5452

List of positive integer factors of 5452 that divides 5452 without a remainder.

1,2,4,29,47,58,94,116,188,1363,2726,5452

Factors of 5456

List of positive integer factors of 5456 that divides 5456 without a remainder.

1,2,4,8,11,16,22,31,44,62,88,124,176,248,341,496,682,1364,2728,5456

Greatest Common Factor

We found the factors and prime factorization of 5452 and 5456. The biggest common factor number is the GCF number.
So the greatest common factor 5452 and 5456 is 4.

Also check out the Least Common Multiple of 5452 and 5456

Properties of GCF 5452 and 5456

(i) The GCF of 5452 and 5456 is associative

GCF of 5452 and 5456 = GCF of 5456 and 5452

Related Greatest Common Factor of 5452

Related Greatest Common Factor of 5456

Frequently Asked Questions on GCF of 5452 and 5456

1. What is the GCF of 5452 and 5456?

Answer: GCF of 5452 and 5456 is 4.

2. What are the Factors of 5452?

Answer: Factors of 5452 are 1, 2, 4, 29, 47, 58, 94, 116, 188, 1363, 2726, 5452. There are 12 integers that are factors of 5452. The greatest factor of 5452 is 5452.

3. What are the Factors of 5456?

Answer: Factors of 5456 are 1, 2, 4, 8, 11, 16, 22, 31, 44, 62, 88, 124, 176, 248, 341, 496, 682, 1364, 2728, 5456. There are 20 integers that are factors of 5456. The greatest factor of 5456 is 5456.

4. How to Find the GCF of 5452 and 5456?

Answer:

Greatest Common Factor of 5452 and 5456 = 4

Step 1: Find the prime factorization of 5452

5452 = 2 x 2 x 29 x 47

Step 2: Find the prime factorization of 5456

5456 = 2 x 2 x 2 x 2 x 11 x 31

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 5452 and 5456 is 4