Greatest Common Factor of 8657 and 8665

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 8657, 8665 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8657 and 8665 is 1.

GCF(8657,8665) = 1

GCF of 8657 and 8665

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

GCF of:
and

Greatest Common Factor of 8657 and 8665

GCF of 8657 and 8665 is 1

Prime Factorization of 8657


11 8657
787 787
1

Prime factors of 8657 are 11,787. Prime factorization of 8657 in exponential form is:

8657 = 111×7871

Prime Factorization of 8665


5 8665
1733 1733
1

Prime factors of 8665 are 5,1733. Prime factorization of 8665 in exponential form is:

8665 = 51×17331

∴ So by taking common prime factors GCF of 8657 and 8665 is 1

Greatest Common Factor of 8657 and 8665 by matching factors method

Factors of 8657

List of positive integer factors of 8657 that divides 8657 without a remainder.

1,11,787,8657

Factors of 8665

List of positive integer factors of 8665 that divides 8665 without a remainder.

1,5,1733,8665

Greatest Common Factor

We found the factors and prime factorization of 8657 and 8665. The biggest common factor number is the GCF number.
So the greatest common factor 8657 and 8665 is 1.

Also check out the Least Common Multiple of 8657 and 8665

Properties of GCF 8657 and 8665

(i) The GCF of 8657 and 8665 is associative

GCF of 8657 and 8665 = GCF of 8665 and 8657

Related Greatest Common Factor of 8657

Related Greatest Common Factor of 8665

Frequently Asked Questions on GCF of 8657 and 8665

1. What is the GCF of 8657 and 8665?

Answer: GCF of 8657 and 8665 is 1.

2. What are the Factors of 8657?

Answer: Factors of 8657 are 1, 11, 787, 8657. There are 4 integers that are factors of 8657. The greatest factor of 8657 is 8657.

3. What are the Factors of 8665?

Answer: Factors of 8665 are 1, 5, 1733, 8665. There are 4 integers that are factors of 8665. The greatest factor of 8665 is 8665.

4. How to Find the GCF of 8657 and 8665?

Answer:

Greatest Common Factor of 8657 and 8665 = 1

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8665

8665 = 5 x 1733

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 8657 and 8665 is 1