Greatest Common Factor of 750 and 755

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 750, 755 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 750 and 755 is 5.

GCF(750,755) = 5

GCF of 750 and 755

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

GCF of:
and

Greatest Common Factor of 750 and 755

GCF of 750 and 755 is 5

Prime Factorization of 750


2 750
3 375
5 125
5 25
5 5
1

Prime factors of 750 are 2,3,5. Prime factorization of 750 in exponential form is:

750 = 21×31×53

Prime Factorization of 755


5 755
151 151
1

Prime factors of 755 are 5,151. Prime factorization of 755 in exponential form is:

755 = 51×1511

∴ So by taking common prime factors GCF of 750 and 755 is 5

Greatest Common Factor of 750 and 755 by matching factors method

Factors of 750

List of positive integer factors of 750 that divides 750 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,125,150,250,375,750

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors and prime factorization of 750 and 755. The biggest common factor number is the GCF number.
So the greatest common factor 750 and 755 is 5.

Also check out the Least Common Multiple of 750 and 755

Properties of GCF 750 and 755

(i) The GCF of 750 and 755 is associative

GCF of 750 and 755 = GCF of 755 and 750

Related Greatest Common Factor of 750

Related Greatest Common Factor of 755

Frequently Asked Questions on GCF of 750 and 755

1. What is the GCF of 750 and 755?

Answer: GCF of 750 and 755 is 5.

2. What are the Factors of 750?

Answer: Factors of 750 are 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750. There are 16 integers that are factors of 750. The greatest factor of 750 is 750.

3. What are the Factors of 755?

Answer: Factors of 755 are 1, 5, 151, 755. There are 4 integers that are factors of 755. The greatest factor of 755 is 755.

4. How to Find the GCF of 750 and 755?

Answer:

Greatest Common Factor of 750 and 755 = 5

Step 1: Find the prime factorization of 750

750 = 2 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 755

755 = 5 x 151

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 750 and 755 is 5