Greatest Common Factor of 4625 and 4627

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, 4627 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4625 and 4627 is 1.

GCF(4625,4627) = 1

GCF of 4625 and 4627

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

GCF of:
and

Greatest Common Factor of 4625 and 4627

GCF of 4625 and 4627 is 1

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 4627


7 4627
661 661
1

Prime factors of 4627 are 7,661. Prime factorization of 4627 in exponential form is:

4627 = 71×6611

∴ So by taking common prime factors GCF of 4625 and 4627 is 1

Greatest Common Factor of 4625 and 4627 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 4627

List of positive integer factors of 4627 that divides 4627 without a remainder.

1,7,661,4627

Greatest Common Factor

We found the factors and prime factorization of 4625 and 4627. The biggest common factor number is the GCF number.
So the greatest common factor 4625 and 4627 is 1.

Also check out the Least Common Multiple of 4625 and 4627

Properties of GCF 4625 and 4627

(i) The GCF of 4625 and 4627 is associative

GCF of 4625 and 4627 = GCF of 4627 and 4625

Related Greatest Common Factor of 4625

Related Greatest Common Factor of 4627

Frequently Asked Questions on GCF of 4625 and 4627

1. What is the GCF of 4625 and 4627?

Answer: GCF of 4625 and 4627 is 1.

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 4627?

Answer: Factors of 4627 are 1, 7, 661, 4627. There are 4 integers that are factors of 4627. The greatest factor of 4627 is 4627.

4. How to Find the GCF of 4625 and 4627?

Answer:

Greatest Common Factor of 4625 and 4627 = 1

Step 1: Find the prime factorization of 4625

4625 = 5 x 5 x 5 x 37

Step 2: Find the prime factorization of 4627

4627 = 7 x 661

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 4625 and 4627 is 1