Greatest Common Factor of 4670 and 4675

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 4670, 4675 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4670 and 4675 is 5.

GCF(4670,4675) = 5

GCF of 4670 and 4675

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

GCF of:
and

Greatest Common Factor of 4670 and 4675

GCF of 4670 and 4675 is 5

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

Prime Factorization of 4675


5 4675
5 935
11 187
17 17
1

Prime factors of 4675 are 5,11,17. Prime factorization of 4675 in exponential form is:

4675 = 52×111×171

∴ So by taking common prime factors GCF of 4670 and 4675 is 5

Greatest Common Factor of 4670 and 4675 by matching factors method

Factors of 4670

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

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

Factors of 4675

List of positive integer factors of 4675 that divides 4675 without a remainder.

1,5,11,17,25,55,85,187,275,425,935,4675

Greatest Common Factor

We found the factors and prime factorization of 4670 and 4675. The biggest common factor number is the GCF number.
So the greatest common factor 4670 and 4675 is 5.

Also check out the Least Common Multiple of 4670 and 4675

Properties of GCF 4670 and 4675

(i) The GCF of 4670 and 4675 is associative

GCF of 4670 and 4675 = GCF of 4675 and 4670

Related Greatest Common Factor of 4670

Related Greatest Common Factor of 4675

Frequently Asked Questions on GCF of 4670 and 4675

1. What is the GCF of 4670 and 4675?

Answer: GCF of 4670 and 4675 is 5.

2. 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.

3. What are the Factors of 4675?

Answer: Factors of 4675 are 1, 5, 11, 17, 25, 55, 85, 187, 275, 425, 935, 4675. There are 12 integers that are factors of 4675. The greatest factor of 4675 is 4675.

4. How to Find the GCF of 4670 and 4675?

Answer:

Greatest Common Factor of 4670 and 4675 = 5

Step 1: Find the prime factorization of 4670

4670 = 2 x 5 x 467

Step 2: Find the prime factorization of 4675

4675 = 5 x 5 x 11 x 17

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

GCF = 5

Step 4: Therefore, the greatest common factor of 4670 and 4675 is 5