Greatest Common Factor of 4664 and 4670

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 4664, 4670 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4664 and 4670 is 2.

GCF(4664,4670) = 2

GCF of 4664 and 4670

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

GCF of:
and

Greatest Common Factor of 4664 and 4670

GCF of 4664 and 4670 is 2

Prime Factorization of 4664


2 4664
2 2332
2 1166
11 583
53 53
1

Prime factors of 4664 are 2,11,53. Prime factorization of 4664 in exponential form is:

4664 = 23×111×531

Prime Factorization of 4670


2 4670
5 2335
467 467
1

Prime factors of 4670 are 2,5,467. Prime factorization of 4670 in exponential form is:

4670 = 21×51×4671

∴ So by taking common prime factors GCF of 4664 and 4670 is 2

Greatest Common Factor of 4664 and 4670 by matching factors method

Factors of 4664

List of positive integer factors of 4664 that divides 4664 without a remainder.

1,2,4,8,11,22,44,53,88,106,212,424,583,1166,2332,4664

Factors of 4670

List of positive integer factors of 4670 that divides 4670 without a remainder.

1,2,5,10,467,934,2335,4670

Greatest Common Factor

We found the factors and prime factorization of 4664 and 4670. The biggest common factor number is the GCF number.
So the greatest common factor 4664 and 4670 is 2.

Also check out the Least Common Multiple of 4664 and 4670

Properties of GCF 4664 and 4670

(i) The GCF of 4664 and 4670 is associative

GCF of 4664 and 4670 = GCF of 4670 and 4664

Related Greatest Common Factor of 4664

Related Greatest Common Factor of 4670

Frequently Asked Questions on GCF of 4664 and 4670

1. What is the GCF of 4664 and 4670?

Answer: GCF of 4664 and 4670 is 2.

2. What are the Factors of 4664?

Answer: Factors of 4664 are 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. There are 16 integers that are factors of 4664. The greatest factor of 4664 is 4664.

3. What are the Factors of 4670?

Answer: Factors of 4670 are 1, 2, 5, 10, 467, 934, 2335, 4670. There are 8 integers that are factors of 4670. The greatest factor of 4670 is 4670.

4. How to Find the GCF of 4664 and 4670?

Answer:

Greatest Common Factor of 4664 and 4670 = 2

Step 1: Find the prime factorization of 4664

4664 = 2 x 2 x 2 x 11 x 53

Step 2: Find the prime factorization of 4670

4670 = 2 x 5 x 467

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 4664 and 4670 is 2