Greatest Common Factor of 8608 and 8614

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, 8614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8608 and 8614 is 2.

GCF(8608,8614) = 2

GCF of 8608 and 8614

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

GCF of:
and

Greatest Common Factor of 8608 and 8614

GCF of 8608 and 8614 is 2

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 8614


2 8614
59 4307
73 73
1

Prime factors of 8614 are 2,59,73. Prime factorization of 8614 in exponential form is:

8614 = 21×591×731

∴ So by taking common prime factors GCF of 8608 and 8614 is 2

Greatest Common Factor of 8608 and 8614 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 8614

List of positive integer factors of 8614 that divides 8614 without a remainder.

1,2,59,73,118,146,4307,8614

Greatest Common Factor

We found the factors and prime factorization of 8608 and 8614. The biggest common factor number is the GCF number.
So the greatest common factor 8608 and 8614 is 2.

Also check out the Least Common Multiple of 8608 and 8614

Properties of GCF 8608 and 8614

(i) The GCF of 8608 and 8614 is associative

GCF of 8608 and 8614 = GCF of 8614 and 8608

Related Greatest Common Factor of 8608

Related Greatest Common Factor of 8614

Frequently Asked Questions on GCF of 8608 and 8614

1. What is the GCF of 8608 and 8614?

Answer: GCF of 8608 and 8614 is 2.

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 8614?

Answer: Factors of 8614 are 1, 2, 59, 73, 118, 146, 4307, 8614. There are 8 integers that are factors of 8614. The greatest factor of 8614 is 8614.

4. How to Find the GCF of 8608 and 8614?

Answer:

Greatest Common Factor of 8608 and 8614 = 2

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 8614

8614 = 2 x 59 x 73

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 8608 and 8614 is 2