Greatest Common Factor of 4623 and 4625

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 4623, 4625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4623 and 4625 is 1.

GCF(4623,4625) = 1

GCF of 4623 and 4625

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

GCF of:
and

Greatest Common Factor of 4623 and 4625

GCF of 4623 and 4625 is 1

Prime Factorization of 4623


3 4623
23 1541
67 67
1

Prime factors of 4623 are 3,23,67. Prime factorization of 4623 in exponential form is:

4623 = 31×231×671

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

∴ So by taking common prime factors GCF of 4623 and 4625 is 1

Greatest Common Factor of 4623 and 4625 by matching factors method

Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1,3,23,67,69,201,1541,4623

Factors of 4625

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

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

Greatest Common Factor

We found the factors and prime factorization of 4623 and 4625. The biggest common factor number is the GCF number.
So the greatest common factor 4623 and 4625 is 1.

Also check out the Least Common Multiple of 4623 and 4625

Properties of GCF 4623 and 4625

(i) The GCF of 4623 and 4625 is associative

GCF of 4623 and 4625 = GCF of 4625 and 4623

Related Greatest Common Factor of 4623

Related Greatest Common Factor of 4625

Frequently Asked Questions on GCF of 4623 and 4625

1. What is the GCF of 4623 and 4625?

Answer: GCF of 4623 and 4625 is 1.

2. What are the Factors of 4623?

Answer: Factors of 4623 are 1, 3, 23, 67, 69, 201, 1541, 4623. There are 8 integers that are factors of 4623. The greatest factor of 4623 is 4623.

3. 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.

4. How to Find the GCF of 4623 and 4625?

Answer:

Greatest Common Factor of 4623 and 4625 = 1

Step 1: Find the prime factorization of 4623

4623 = 3 x 23 x 67

Step 2: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4623 and 4625 is 1