Greatest Common Factor of 614 and 618

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 614, 618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 614 and 618 is 2.

GCF(614,618) = 2

GCF of 614 and 618

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

GCF of:
and

Greatest Common Factor of 614 and 618

GCF of 614 and 618 is 2

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

Prime Factorization of 618


2 618
3 309
103 103
1

Prime factors of 618 are 2,3,103. Prime factorization of 618 in exponential form is:

618 = 21×31×1031

∴ So by taking common prime factors GCF of 614 and 618 is 2

Greatest Common Factor of 614 and 618 by matching factors method

Factors of 614

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

1,2,307,614

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Greatest Common Factor

We found the factors and prime factorization of 614 and 618. The biggest common factor number is the GCF number.
So the greatest common factor 614 and 618 is 2.

Also check out the Least Common Multiple of 614 and 618

Properties of GCF 614 and 618

(i) The GCF of 614 and 618 is associative

GCF of 614 and 618 = GCF of 618 and 614

Related Greatest Common Factor of 614

Related Greatest Common Factor of 618

Frequently Asked Questions on GCF of 614 and 618

1. What is the GCF of 614 and 618?

Answer: GCF of 614 and 618 is 2.

2. 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.

3. What are the Factors of 618?

Answer: Factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618. There are 8 integers that are factors of 618. The greatest factor of 618 is 618.

4. How to Find the GCF of 614 and 618?

Answer:

Greatest Common Factor of 614 and 618 = 2

Step 1: Find the prime factorization of 614

614 = 2 x 307

Step 2: Find the prime factorization of 618

618 = 2 x 3 x 103

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 614 and 618 is 2