Greatest Common Factor of 4608 and 4616

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 4608, 4616 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4608 and 4616 is 8.

GCF(4608,4616) = 8

GCF of 4608 and 4616

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

GCF of:
and

Greatest Common Factor of 4608 and 4616

GCF of 4608 and 4616 is 8

Prime Factorization of 4608


2 4608
2 2304
2 1152
2 576
2 288
2 144
2 72
2 36
2 18
3 9
3 3
1

Prime factors of 4608 are 2,3. Prime factorization of 4608 in exponential form is:

4608 = 29×32

Prime Factorization of 4616


2 4616
2 2308
2 1154
577 577
1

Prime factors of 4616 are 2,577. Prime factorization of 4616 in exponential form is:

4616 = 23×5771

∴ So by taking common prime factors GCF of 4608 and 4616 is 8

Greatest Common Factor of 4608 and 4616 by matching factors method

Factors of 4608

List of positive integer factors of 4608 that divides 4608 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1152,1536,2304,4608

Factors of 4616

List of positive integer factors of 4616 that divides 4616 without a remainder.

1,2,4,8,577,1154,2308,4616

Greatest Common Factor

We found the factors and prime factorization of 4608 and 4616. The biggest common factor number is the GCF number.
So the greatest common factor 4608 and 4616 is 8.

Also check out the Least Common Multiple of 4608 and 4616

Properties of GCF 4608 and 4616

(i) The GCF of 4608 and 4616 is associative

GCF of 4608 and 4616 = GCF of 4616 and 4608

Related Greatest Common Factor of 4608

Related Greatest Common Factor of 4616

Frequently Asked Questions on GCF of 4608 and 4616

1. What is the GCF of 4608 and 4616?

Answer: GCF of 4608 and 4616 is 8.

2. What are the Factors of 4608?

Answer: Factors of 4608 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 128, 144, 192, 256, 288, 384, 512, 576, 768, 1152, 1536, 2304, 4608. There are 30 integers that are factors of 4608. The greatest factor of 4608 is 4608.

3. What are the Factors of 4616?

Answer: Factors of 4616 are 1, 2, 4, 8, 577, 1154, 2308, 4616. There are 8 integers that are factors of 4616. The greatest factor of 4616 is 4616.

4. How to Find the GCF of 4608 and 4616?

Answer:

Greatest Common Factor of 4608 and 4616 = 8

Step 1: Find the prime factorization of 4608

4608 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Step 2: Find the prime factorization of 4616

4616 = 2 x 2 x 2 x 577

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 4608 and 4616 is 8