Greatest Common Factor of 5608 and 5612

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 5608, 5612 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5608 and 5612 is 4.

GCF(5608,5612) = 4

GCF of 5608 and 5612

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

GCF of:
and

Greatest Common Factor of 5608 and 5612

GCF of 5608 and 5612 is 4

Prime Factorization of 5608


2 5608
2 2804
2 1402
701 701
1

Prime factors of 5608 are 2,701. Prime factorization of 5608 in exponential form is:

5608 = 23×7011

Prime Factorization of 5612


2 5612
2 2806
23 1403
61 61
1

Prime factors of 5612 are 2,23,61. Prime factorization of 5612 in exponential form is:

5612 = 22×231×611

∴ So by taking common prime factors GCF of 5608 and 5612 is 4

Greatest Common Factor of 5608 and 5612 by matching factors method

Factors of 5608

List of positive integer factors of 5608 that divides 5608 without a remainder.

1,2,4,8,701,1402,2804,5608

Factors of 5612

List of positive integer factors of 5612 that divides 5612 without a remainder.

1,2,4,23,46,61,92,122,244,1403,2806,5612

Greatest Common Factor

We found the factors and prime factorization of 5608 and 5612. The biggest common factor number is the GCF number.
So the greatest common factor 5608 and 5612 is 4.

Also check out the Least Common Multiple of 5608 and 5612

Properties of GCF 5608 and 5612

(i) The GCF of 5608 and 5612 is associative

GCF of 5608 and 5612 = GCF of 5612 and 5608

Related Greatest Common Factor of 5608

Related Greatest Common Factor of 5612

Frequently Asked Questions on GCF of 5608 and 5612

1. What is the GCF of 5608 and 5612?

Answer: GCF of 5608 and 5612 is 4.

2. What are the Factors of 5608?

Answer: Factors of 5608 are 1, 2, 4, 8, 701, 1402, 2804, 5608. There are 8 integers that are factors of 5608. The greatest factor of 5608 is 5608.

3. What are the Factors of 5612?

Answer: Factors of 5612 are 1, 2, 4, 23, 46, 61, 92, 122, 244, 1403, 2806, 5612. There are 12 integers that are factors of 5612. The greatest factor of 5612 is 5612.

4. How to Find the GCF of 5608 and 5612?

Answer:

Greatest Common Factor of 5608 and 5612 = 4

Step 1: Find the prime factorization of 5608

5608 = 2 x 2 x 2 x 701

Step 2: Find the prime factorization of 5612

5612 = 2 x 2 x 23 x 61

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 5608 and 5612 is 4