Greatest Common Factor of 616 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 616, 618 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 616 and 618 is 2.

GCF(616,618) = 2

GCF of 616 and 618

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

GCF of:
and

Greatest Common Factor of 616 and 618

GCF of 616 and 618 is 2

Prime Factorization of 616


2 616
2 308
2 154
7 77
11 11
1

Prime factors of 616 are 2,7,11. Prime factorization of 616 in exponential form is:

616 = 23×71×111

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 616 and 618 is 2

Greatest Common Factor of 616 and 618 by matching factors method

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

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 616 and 618. The biggest common factor number is the GCF number.
So the greatest common factor 616 and 618 is 2.

Also check out the Least Common Multiple of 616 and 618

Properties of GCF 616 and 618

(i) The GCF of 616 and 618 is associative

GCF of 616 and 618 = GCF of 618 and 616

Related Greatest Common Factor of 616

Related Greatest Common Factor of 618

Frequently Asked Questions on GCF of 616 and 618

1. What is the GCF of 616 and 618?

Answer: GCF of 616 and 618 is 2.

2. What are the Factors of 616?

Answer: Factors of 616 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616. There are 16 integers that are factors of 616. The greatest factor of 616 is 616.

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 616 and 618?

Answer:

Greatest Common Factor of 616 and 618 = 2

Step 1: Find the prime factorization of 616

616 = 2 x 2 x 2 x 7 x 11

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 616 and 618 is 2