Greatest Common Factor of 616 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 616, 624 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 616 and 624 is 8.

GCF(616,624) = 8

GCF of 616 and 624

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

GCF of:
and

Greatest Common Factor of 616 and 624

GCF of 616 and 624 is 8

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 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 616 and 624 is 8

Greatest Common Factor of 616 and 624 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 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 616 and 624. The biggest common factor number is the GCF number.
So the greatest common factor 616 and 624 is 8.

Also check out the Least Common Multiple of 616 and 624

Properties of GCF 616 and 624

(i) The GCF of 616 and 624 is associative

GCF of 616 and 624 = GCF of 624 and 616

Related Greatest Common Factor of 616

Related Greatest Common Factor of 624

Frequently Asked Questions on GCF of 616 and 624

1. What is the GCF of 616 and 624?

Answer: GCF of 616 and 624 is 8.

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 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 616 and 624?

Answer:

Greatest Common Factor of 616 and 624 = 8

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 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 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 616 and 624 is 8