Greatest Common Factor of 8608 and 8616

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, 8616 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8608 and 8616 is 8.

GCF(8608,8616) = 8

GCF of 8608 and 8616

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

GCF of:
and

Greatest Common Factor of 8608 and 8616

GCF of 8608 and 8616 is 8

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 8616


2 8616
2 4308
2 2154
3 1077
359 359
1

Prime factors of 8616 are 2,3,359. Prime factorization of 8616 in exponential form is:

8616 = 23×31×3591

∴ So by taking common prime factors GCF of 8608 and 8616 is 8

Greatest Common Factor of 8608 and 8616 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 8616

List of positive integer factors of 8616 that divides 8616 without a remainder.

1,2,3,4,6,8,12,24,359,718,1077,1436,2154,2872,4308,8616

Greatest Common Factor

We found the factors and prime factorization of 8608 and 8616. The biggest common factor number is the GCF number.
So the greatest common factor 8608 and 8616 is 8.

Also check out the Least Common Multiple of 8608 and 8616

Properties of GCF 8608 and 8616

(i) The GCF of 8608 and 8616 is associative

GCF of 8608 and 8616 = GCF of 8616 and 8608

Related Greatest Common Factor of 8608

Related Greatest Common Factor of 8616

Frequently Asked Questions on GCF of 8608 and 8616

1. What is the GCF of 8608 and 8616?

Answer: GCF of 8608 and 8616 is 8.

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 8616?

Answer: Factors of 8616 are 1, 2, 3, 4, 6, 8, 12, 24, 359, 718, 1077, 1436, 2154, 2872, 4308, 8616. There are 16 integers that are factors of 8616. The greatest factor of 8616 is 8616.

4. How to Find the GCF of 8608 and 8616?

Answer:

Greatest Common Factor of 8608 and 8616 = 8

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 8616

8616 = 2 x 2 x 2 x 3 x 359

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8608 and 8616 is 8