Greatest Common Factor of 738 and 745

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 738, 745 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 738 and 745 is 1.

GCF(738,745) = 1

GCF of 738 and 745

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

GCF of:
and

Greatest Common Factor of 738 and 745

GCF of 738 and 745 is 1

Prime Factorization of 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2,3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

Prime Factorization of 745


5 745
149 149
1

Prime factors of 745 are 5,149. Prime factorization of 745 in exponential form is:

745 = 51×1491

∴ So by taking common prime factors GCF of 738 and 745 is 1

Greatest Common Factor of 738 and 745 by matching factors method

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 745

List of positive integer factors of 745 that divides 745 without a remainder.

1,5,149,745

Greatest Common Factor

We found the factors and prime factorization of 738 and 745. The biggest common factor number is the GCF number.
So the greatest common factor 738 and 745 is 1.

Also check out the Least Common Multiple of 738 and 745

Properties of GCF 738 and 745

(i) The GCF of 738 and 745 is associative

GCF of 738 and 745 = GCF of 745 and 738

Related Greatest Common Factor of 738

Related Greatest Common Factor of 745

Frequently Asked Questions on GCF of 738 and 745

1. What is the GCF of 738 and 745?

Answer: GCF of 738 and 745 is 1.

2. What are the Factors of 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

3. What are the Factors of 745?

Answer: Factors of 745 are 1, 5, 149, 745. There are 4 integers that are factors of 745. The greatest factor of 745 is 745.

4. How to Find the GCF of 738 and 745?

Answer:

Greatest Common Factor of 738 and 745 = 1

Step 1: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

Step 2: Find the prime factorization of 745

745 = 5 x 149

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 738 and 745 is 1