Greatest Common Factor of 8657 and 8664

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, 8664 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8657 and 8664 is 1.

GCF(8657,8664) = 1

GCF of 8657 and 8664

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

GCF of:
and

Greatest Common Factor of 8657 and 8664

GCF of 8657 and 8664 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 8664


2 8664
2 4332
2 2166
3 1083
19 361
19 19
1

Prime factors of 8664 are 2,3,19. Prime factorization of 8664 in exponential form is:

8664 = 23×31×192

∴ So by taking common prime factors GCF of 8657 and 8664 is 1

Greatest Common Factor of 8657 and 8664 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 8664

List of positive integer factors of 8664 that divides 8664 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,361,456,722,1083,1444,2166,2888,4332,8664

Greatest Common Factor

We found the factors and prime factorization of 8657 and 8664. The biggest common factor number is the GCF number.
So the greatest common factor 8657 and 8664 is 1.

Also check out the Least Common Multiple of 8657 and 8664

Properties of GCF 8657 and 8664

(i) The GCF of 8657 and 8664 is associative

GCF of 8657 and 8664 = GCF of 8664 and 8657

Related Greatest Common Factor of 8657

Related Greatest Common Factor of 8664

Frequently Asked Questions on GCF of 8657 and 8664

1. What is the GCF of 8657 and 8664?

Answer: GCF of 8657 and 8664 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 8664?

Answer: Factors of 8664 are 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 361, 456, 722, 1083, 1444, 2166, 2888, 4332, 8664. There are 24 integers that are factors of 8664. The greatest factor of 8664 is 8664.

4. How to Find the GCF of 8657 and 8664?

Answer:

Greatest Common Factor of 8657 and 8664 = 1

Step 1: Find the prime factorization of 8657

8657 = 11 x 787

Step 2: Find the prime factorization of 8664

8664 = 2 x 2 x 2 x 3 x 19 x 19

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 8664 is 1