Greatest Common Factor of 608 and 614

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 608, 614 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 608 and 614 is 2.

GCF(608,614) = 2

GCF of 608 and 614

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

GCF of:
and

Greatest Common Factor of 608 and 614

GCF of 608 and 614 is 2

Prime Factorization of 608


2 608
2 304
2 152
2 76
2 38
19 19
1

Prime factors of 608 are 2,19. Prime factorization of 608 in exponential form is:

608 = 25×191

Prime Factorization of 614


2 614
307 307
1

Prime factors of 614 are 2,307. Prime factorization of 614 in exponential form is:

614 = 21×3071

∴ So by taking common prime factors GCF of 608 and 614 is 2

Greatest Common Factor of 608 and 614 by matching factors method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Greatest Common Factor

We found the factors and prime factorization of 608 and 614. The biggest common factor number is the GCF number.
So the greatest common factor 608 and 614 is 2.

Also check out the Least Common Multiple of 608 and 614

Properties of GCF 608 and 614

(i) The GCF of 608 and 614 is associative

GCF of 608 and 614 = GCF of 614 and 608

Related Greatest Common Factor of 608

Related Greatest Common Factor of 614

Frequently Asked Questions on GCF of 608 and 614

1. What is the GCF of 608 and 614?

Answer: GCF of 608 and 614 is 2.

2. What are the Factors of 608?

Answer: Factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608. There are 12 integers that are factors of 608. The greatest factor of 608 is 608.

3. What are the Factors of 614?

Answer: Factors of 614 are 1, 2, 307, 614. There are 4 integers that are factors of 614. The greatest factor of 614 is 614.

4. How to Find the GCF of 608 and 614?

Answer:

Greatest Common Factor of 608 and 614 = 2

Step 1: Find the prime factorization of 608

608 = 2 x 2 x 2 x 2 x 2 x 19

Step 2: Find the prime factorization of 614

614 = 2 x 307

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 608 and 614 is 2