Greatest Common Factor of 8602 and 8608

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 8602, 8608 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8602 and 8608 is 2.

GCF(8602,8608) = 2

GCF of 8602 and 8608

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

GCF of:
and

Greatest Common Factor of 8602 and 8608

GCF of 8602 and 8608 is 2

Prime Factorization of 8602


2 8602
11 4301
17 391
23 23
1

Prime factors of 8602 are 2,11,17,23. Prime factorization of 8602 in exponential form is:

8602 = 21×111×171×231

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

∴ So by taking common prime factors GCF of 8602 and 8608 is 2

Greatest Common Factor of 8602 and 8608 by matching factors method

Factors of 8602

List of positive integer factors of 8602 that divides 8602 without a remainder.

1,2,11,17,22,23,34,46,187,253,374,391,506,782,4301,8602

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

Greatest Common Factor

We found the factors and prime factorization of 8602 and 8608. The biggest common factor number is the GCF number.
So the greatest common factor 8602 and 8608 is 2.

Also check out the Least Common Multiple of 8602 and 8608

Properties of GCF 8602 and 8608

(i) The GCF of 8602 and 8608 is associative

GCF of 8602 and 8608 = GCF of 8608 and 8602

Related Greatest Common Factor of 8602

Related Greatest Common Factor of 8608

Frequently Asked Questions on GCF of 8602 and 8608

1. What is the GCF of 8602 and 8608?

Answer: GCF of 8602 and 8608 is 2.

2. What are the Factors of 8602?

Answer: Factors of 8602 are 1, 2, 11, 17, 22, 23, 34, 46, 187, 253, 374, 391, 506, 782, 4301, 8602. There are 16 integers that are factors of 8602. The greatest factor of 8602 is 8602.

3. 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.

4. How to Find the GCF of 8602 and 8608?

Answer:

Greatest Common Factor of 8602 and 8608 = 2

Step 1: Find the prime factorization of 8602

8602 = 2 x 11 x 17 x 23

Step 2: Find the prime factorization of 8608

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8602 and 8608 is 2