Greatest Common Factor of 737 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 737, 744 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 737 and 744 is 1.

GCF(737,744) = 1

GCF of 737 and 744

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

GCF of:
and

Greatest Common Factor of 737 and 744

GCF of 737 and 744 is 1

Prime Factorization of 737


11 737
67 67
1

Prime factors of 737 are 11,67. Prime factorization of 737 in exponential form is:

737 = 111×671

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 737 and 744 is 1

Greatest Common Factor of 737 and 744 by matching factors method

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

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 737 and 744. The biggest common factor number is the GCF number.
So the greatest common factor 737 and 744 is 1.

Also check out the Least Common Multiple of 737 and 744

Properties of GCF 737 and 744

(i) The GCF of 737 and 744 is associative

GCF of 737 and 744 = GCF of 744 and 737

Related Greatest Common Factor of 737

Related Greatest Common Factor of 744

Frequently Asked Questions on GCF of 737 and 744

1. What is the GCF of 737 and 744?

Answer: GCF of 737 and 744 is 1.

2. What are the Factors of 737?

Answer: Factors of 737 are 1, 11, 67, 737. There are 4 integers that are factors of 737. The greatest factor of 737 is 737.

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 737 and 744?

Answer:

Greatest Common Factor of 737 and 744 = 1

Step 1: Find the prime factorization of 737

737 = 11 x 67

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 = = 1

Step 4: Therefore, the greatest common factor of 737 and 744 is 1