Greatest Common Factor of 4621 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 4621, 4625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4621 and 4625 is 1.

GCF(4621,4625) = 1

GCF of 4621 and 4625

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

GCF of:
and

Greatest Common Factor of 4621 and 4625

GCF of 4621 and 4625 is 1

Prime Factorization of 4621


4621 4621
1

Prime factors of 4621 are 4621. Prime factorization of 4621 in exponential form is:

4621 = 46211

Prime Factorization of 4625


5 4625
5 925
5 185
37 37
1

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

4625 = 53×371

∴ So by taking common prime factors GCF of 4621 and 4625 is 1

Greatest Common Factor of 4621 and 4625 by matching factors method

Factors of 4621

List of positive integer factors of 4621 that divides 4621 without a remainder.

1,4621

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 4621 and 4625. The biggest common factor number is the GCF number.
So the greatest common factor 4621 and 4625 is 1.

Also check out the Least Common Multiple of 4621 and 4625

Properties of GCF 4621 and 4625

(i) The GCF of 4621 and 4625 is associative

GCF of 4621 and 4625 = GCF of 4625 and 4621

Related Greatest Common Factor of 4621

Related Greatest Common Factor of 4625

Frequently Asked Questions on GCF of 4621 and 4625

1. What is the GCF of 4621 and 4625?

Answer: GCF of 4621 and 4625 is 1.

2. What are the Factors of 4621?

Answer: Factors of 4621 are 1, 4621. There are 2 integers that are factors of 4621. The greatest factor of 4621 is 4621.

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 4621 and 4625?

Answer:

Greatest Common Factor of 4621 and 4625 = 1

Step 1: Find the prime factorization of 4621

4621 = 4621

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 4621 and 4625 is 1