Greatest Common Factor of 6617 and 6625

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 6617, 6625 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6617 and 6625 is 1.

GCF(6617,6625) = 1

GCF of 6617 and 6625

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

GCF of:
and

Greatest Common Factor of 6617 and 6625

GCF of 6617 and 6625 is 1

Prime Factorization of 6617


13 6617
509 509
1

Prime factors of 6617 are 13,509. Prime factorization of 6617 in exponential form is:

6617 = 131×5091

Prime Factorization of 6625


5 6625
5 1325
5 265
53 53
1

Prime factors of 6625 are 5,53. Prime factorization of 6625 in exponential form is:

6625 = 53×531

∴ So by taking common prime factors GCF of 6617 and 6625 is 1

Greatest Common Factor of 6617 and 6625 by matching factors method

Factors of 6617

List of positive integer factors of 6617 that divides 6617 without a remainder.

1,13,509,6617

Factors of 6625

List of positive integer factors of 6625 that divides 6625 without a remainder.

1,5,25,53,125,265,1325,6625

Greatest Common Factor

We found the factors and prime factorization of 6617 and 6625. The biggest common factor number is the GCF number.
So the greatest common factor 6617 and 6625 is 1.

Also check out the Least Common Multiple of 6617 and 6625

Properties of GCF 6617 and 6625

(i) The GCF of 6617 and 6625 is associative

GCF of 6617 and 6625 = GCF of 6625 and 6617

Related Greatest Common Factor of 6617

Related Greatest Common Factor of 6625

Frequently Asked Questions on GCF of 6617 and 6625

1. What is the GCF of 6617 and 6625?

Answer: GCF of 6617 and 6625 is 1.

2. What are the Factors of 6617?

Answer: Factors of 6617 are 1, 13, 509, 6617. There are 4 integers that are factors of 6617. The greatest factor of 6617 is 6617.

3. What are the Factors of 6625?

Answer: Factors of 6625 are 1, 5, 25, 53, 125, 265, 1325, 6625. There are 8 integers that are factors of 6625. The greatest factor of 6625 is 6625.

4. How to Find the GCF of 6617 and 6625?

Answer:

Greatest Common Factor of 6617 and 6625 = 1

Step 1: Find the prime factorization of 6617

6617 = 13 x 509

Step 2: Find the prime factorization of 6625

6625 = 5 x 5 x 5 x 53

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 6617 and 6625 is 1