Greatest Common Factor of 618 and 624

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 618, 624 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 618 and 624 is 6.

GCF(618,624) = 6

GCF of 618 and 624

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

GCF of:
and

Greatest Common Factor of 618 and 624

GCF of 618 and 624 is 6

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

Prime Factorization of 624


2 624
2 312
2 156
2 78
3 39
13 13
1

Prime factors of 624 are 2,3,13. Prime factorization of 624 in exponential form is:

624 = 24×31×131

∴ So by taking common prime factors GCF of 618 and 624 is 6

Greatest Common Factor of 618 and 624 by matching factors method

Factors of 618

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

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

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors and prime factorization of 618 and 624. The biggest common factor number is the GCF number.
So the greatest common factor 618 and 624 is 6.

Also check out the Least Common Multiple of 618 and 624

Properties of GCF 618 and 624

(i) The GCF of 618 and 624 is associative

GCF of 618 and 624 = GCF of 624 and 618

Related Greatest Common Factor of 618

Related Greatest Common Factor of 624

Frequently Asked Questions on GCF of 618 and 624

1. What is the GCF of 618 and 624?

Answer: GCF of 618 and 624 is 6.

2. 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.

3. What are the Factors of 624?

Answer: Factors of 624 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624. There are 20 integers that are factors of 624. The greatest factor of 624 is 624.

4. How to Find the GCF of 618 and 624?

Answer:

Greatest Common Factor of 618 and 624 = 6

Step 1: Find the prime factorization of 618

618 = 2 x 3 x 103

Step 2: Find the prime factorization of 624

624 = 2 x 2 x 2 x 2 x 3 x 13

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 618 and 624 is 6