Greatest Common Factor of 8608 and 8609

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 8608, 8609 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8608 and 8609 is 1.

GCF(8608,8609) = 1

GCF of 8608 and 8609

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

GCF of:
and

Greatest Common Factor of 8608 and 8609

GCF of 8608 and 8609 is 1

Prime Factorization of 8608


2 8608
2 4304
2 2152
2 1076
2 538
269 269
1

Prime factors of 8608 are 2,269. Prime factorization of 8608 in exponential form is:

8608 = 25×2691

Prime Factorization of 8609


8609 8609
1

Prime factors of 8609 are 8609. Prime factorization of 8609 in exponential form is:

8609 = 86091

∴ So by taking common prime factors GCF of 8608 and 8609 is 1

Greatest Common Factor of 8608 and 8609 by matching factors method

Factors of 8608

List of positive integer factors of 8608 that divides 8608 without a remainder.

1,2,4,8,16,32,269,538,1076,2152,4304,8608

Factors of 8609

List of positive integer factors of 8609 that divides 8609 without a remainder.

1,8609

Greatest Common Factor

We found the factors and prime factorization of 8608 and 8609. The biggest common factor number is the GCF number.
So the greatest common factor 8608 and 8609 is 1.

Also check out the Least Common Multiple of 8608 and 8609

Properties of GCF 8608 and 8609

(i) The GCF of 8608 and 8609 is associative

GCF of 8608 and 8609 = GCF of 8609 and 8608

Related Greatest Common Factor of 8608

Related Greatest Common Factor of 8609

Frequently Asked Questions on GCF of 8608 and 8609

1. What is the GCF of 8608 and 8609?

Answer: GCF of 8608 and 8609 is 1.

2. What are the Factors of 8608?

Answer: Factors of 8608 are 1, 2, 4, 8, 16, 32, 269, 538, 1076, 2152, 4304, 8608. There are 12 integers that are factors of 8608. The greatest factor of 8608 is 8608.

3. What are the Factors of 8609?

Answer: Factors of 8609 are 1, 8609. There are 2 integers that are factors of 8609. The greatest factor of 8609 is 8609.

4. How to Find the GCF of 8608 and 8609?

Answer:

Greatest Common Factor of 8608 and 8609 = 1

Step 1: Find the prime factorization of 8608

8608 = 2 x 2 x 2 x 2 x 2 x 269

Step 2: Find the prime factorization of 8609

8609 = 8609

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 8608 and 8609 is 1