Greatest Common Factor of 740 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 740, 745 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 740 and 745 is 5.

GCF(740,745) = 5

GCF of 740 and 745

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

GCF of:
and

Greatest Common Factor of 740 and 745

GCF of 740 and 745 is 5

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

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 740 and 745 is 5

Greatest Common Factor of 740 and 745 by matching factors method

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

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 740 and 745. The biggest common factor number is the GCF number.
So the greatest common factor 740 and 745 is 5.

Also check out the Least Common Multiple of 740 and 745

Properties of GCF 740 and 745

(i) The GCF of 740 and 745 is associative

GCF of 740 and 745 = GCF of 745 and 740

Related Greatest Common Factor of 740

Related Greatest Common Factor of 745

Frequently Asked Questions on GCF of 740 and 745

1. What is the GCF of 740 and 745?

Answer: GCF of 740 and 745 is 5.

2. 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.

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 740 and 745?

Answer:

Greatest Common Factor of 740 and 745 = 5

Step 1: Find the prime factorization of 740

740 = 2 x 2 x 5 x 37

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 = 5

Step 4: Therefore, the greatest common factor of 740 and 745 is 5