Greatest Common Factor of 735 and 740

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 735, 740 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 735 and 740 is 5.

GCF(735,740) = 5

GCF of 735 and 740

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

GCF of:
and

Greatest Common Factor of 735 and 740

GCF of 735 and 740 is 5

Prime Factorization of 735


3 735
5 245
7 49
7 7
1

Prime factors of 735 are 3,5,7. Prime factorization of 735 in exponential form is:

735 = 31×51×72

Prime Factorization of 740


2 740
2 370
5 185
37 37
1

Prime factors of 740 are 2,5,37. Prime factorization of 740 in exponential form is:

740 = 22×51×371

∴ So by taking common prime factors GCF of 735 and 740 is 5

Greatest Common Factor of 735 and 740 by matching factors method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Greatest Common Factor

We found the factors and prime factorization of 735 and 740. The biggest common factor number is the GCF number.
So the greatest common factor 735 and 740 is 5.

Also check out the Least Common Multiple of 735 and 740

Properties of GCF 735 and 740

(i) The GCF of 735 and 740 is associative

GCF of 735 and 740 = GCF of 740 and 735

Related Greatest Common Factor of 735

Related Greatest Common Factor of 740

Frequently Asked Questions on GCF of 735 and 740

1. What is the GCF of 735 and 740?

Answer: GCF of 735 and 740 is 5.

2. What are the Factors of 735?

Answer: Factors of 735 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735. There are 12 integers that are factors of 735. The greatest factor of 735 is 735.

3. What are the Factors of 740?

Answer: Factors of 740 are 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740. There are 12 integers that are factors of 740. The greatest factor of 740 is 740.

4. How to Find the GCF of 735 and 740?

Answer:

Greatest Common Factor of 735 and 740 = 5

Step 1: Find the prime factorization of 735

735 = 3 x 5 x 7 x 7

Step 2: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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

GCF = 5

Step 4: Therefore, the greatest common factor of 735 and 740 is 5