Greatest Common Factor of 736 and 744

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 736, 744 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 736 and 744 is 8.

GCF(736,744) = 8

GCF of 736 and 744

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

GCF of:
and

Greatest Common Factor of 736 and 744

GCF of 736 and 744 is 8

Prime Factorization of 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

Prime Factorization of 744


2 744
2 372
2 186
3 93
31 31
1

Prime factors of 744 are 2,3,31. Prime factorization of 744 in exponential form is:

744 = 23×31×311

∴ So by taking common prime factors GCF of 736 and 744 is 8

Greatest Common Factor of 736 and 744 by matching factors method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors and prime factorization of 736 and 744. The biggest common factor number is the GCF number.
So the greatest common factor 736 and 744 is 8.

Also check out the Least Common Multiple of 736 and 744

Properties of GCF 736 and 744

(i) The GCF of 736 and 744 is associative

GCF of 736 and 744 = GCF of 744 and 736

Related Greatest Common Factor of 736

Related Greatest Common Factor of 744

Frequently Asked Questions on GCF of 736 and 744

1. What is the GCF of 736 and 744?

Answer: GCF of 736 and 744 is 8.

2. What are the Factors of 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

3. What are the Factors of 744?

Answer: Factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744. There are 16 integers that are factors of 744. The greatest factor of 744 is 744.

4. How to Find the GCF of 736 and 744?

Answer:

Greatest Common Factor of 736 and 744 = 8

Step 1: Find the prime factorization of 736

736 = 2 x 2 x 2 x 2 x 2 x 23

Step 2: Find the prime factorization of 744

744 = 2 x 2 x 2 x 3 x 31

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 736 and 744 is 8