Greatest Common Factor of 4625 and 4630

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 4625, 4630 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4625 and 4630 is 5.

GCF(4625,4630) = 5

GCF of 4625 and 4630

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

GCF of:
and

Greatest Common Factor of 4625 and 4630

GCF of 4625 and 4630 is 5

Prime Factorization of 4625


5 4625
5 925
5 185
37 37
1

Prime factors of 4625 are 5,37. Prime factorization of 4625 in exponential form is:

4625 = 53×371

Prime Factorization of 4630


2 4630
5 2315
463 463
1

Prime factors of 4630 are 2,5,463. Prime factorization of 4630 in exponential form is:

4630 = 21×51×4631

∴ So by taking common prime factors GCF of 4625 and 4630 is 5

Greatest Common Factor of 4625 and 4630 by matching factors method

Factors of 4625

List of positive integer factors of 4625 that divides 4625 without a remainder.

1,5,25,37,125,185,925,4625

Factors of 4630

List of positive integer factors of 4630 that divides 4630 without a remainder.

1,2,5,10,463,926,2315,4630

Greatest Common Factor

We found the factors and prime factorization of 4625 and 4630. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4630 is 5.

Also check out the Least Common Multiple of 4625 and 4630

Properties of GCF 4625 and 4630

(i) The GCF of 4625 and 4630 is associative

GCF of 4625 and 4630 = GCF of 4630 and 4625

Related Greatest Common Factor of 4625

Related Greatest Common Factor of 4630

Frequently Asked Questions on GCF of 4625 and 4630

1. What is the GCF of 4625 and 4630?

Answer: GCF of 4625 and 4630 is 5.

2. What are the Factors of 4625?

Answer: Factors of 4625 are 1, 5, 25, 37, 125, 185, 925, 4625. There are 8 integers that are factors of 4625. The greatest factor of 4625 is 4625.

3. What are the Factors of 4630?

Answer: Factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630. There are 8 integers that are factors of 4630. The greatest factor of 4630 is 4630.

4. How to Find the GCF of 4625 and 4630?

Answer:

Greatest Common Factor of 4625 and 4630 = 5

Step 1: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

Step 2: Find the prime factorization of 4630

4630 = 2 x 5 x 463

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 4625 and 4630 is 5