Greatest Common Factor of 616 and 623

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, 623 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 616 and 623 is 7.

GCF(616,623) = 7

GCF of 616 and 623

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

GCF of:
and

Greatest Common Factor of 616 and 623

GCF of 616 and 623 is 7

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 623


7 623
89 89
1

Prime factors of 623 are 7,89. Prime factorization of 623 in exponential form is:

623 = 71×891

∴ So by taking common prime factors GCF of 616 and 623 is 7

Greatest Common Factor of 616 and 623 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 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors and prime factorization of 616 and 623. The biggest common factor number is the GCF number.
So the greatest common factor 616 and 623 is 7.

Also check out the Least Common Multiple of 616 and 623

Properties of GCF 616 and 623

(i) The GCF of 616 and 623 is associative

GCF of 616 and 623 = GCF of 623 and 616

Related Greatest Common Factor of 616

Related Greatest Common Factor of 623

Frequently Asked Questions on GCF of 616 and 623

1. What is the GCF of 616 and 623?

Answer: GCF of 616 and 623 is 7.

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 623?

Answer: Factors of 623 are 1, 7, 89, 623. There are 4 integers that are factors of 623. The greatest factor of 623 is 623.

4. How to Find the GCF of 616 and 623?

Answer:

Greatest Common Factor of 616 and 623 = 7

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 623

623 = 7 x 89

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

GCF = 7

Step 4: Therefore, the greatest common factor of 616 and 623 is 7