Greatest Common Factor of 751 and 752

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 751, 752 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 751 and 752 is 1.

GCF(751,752) = 1

GCF of 751 and 752

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

GCF of:
and

Greatest Common Factor of 751 and 752

GCF of 751 and 752 is 1

Prime Factorization of 751


751 751
1

Prime factors of 751 are 751. Prime factorization of 751 in exponential form is:

751 = 7511

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2.Prime factorization of 752 in exponential form is:

752 = 24×471

∴ So by taking common prime factors GCF of 751 and 752 is 1

Greatest Common Factor of 751 and 752 by matching factors method

Factors of 751

List of positive integer factors of 751 that divides 751 without a remainder.

1,751

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors and prime factorization of 751 and 752. The biggest common factor number is the GCF number.
So the greatest common factor 751 and 752 is 1.

Also check out the Least Common Multiple of 751 and 752

Properties of GCF 751 and 752

(i) The GCF of 751 and 752 is associative

GCF of 751 and 752 = GCF of 752 and 751

Related Greatest Common Factor of 751

Related Greatest Common Factor of 752

Frequently Asked Questions on GCF of 751 and 752

1. What is the GCF of 751 and 752?

Answer: GCF of 751 and 752 is 1.

2. What are the Factors of 751?

Answer: Factors of 751 are 1, 751. There are 2 integers that are factors of 751. The greatest factor of 751 is 751.

3. What are the Factors of 752?

Answer: Factors of 752 are 1, 2, 4, 8, 16, 47, 94, 188, 376, 752. There are 10 integers that are factors of 752. The greatest factor of 752 is 752.

4. How to Find the GCF of 751 and 752?

Answer:

Greatest Common Factor of 751 and 752 = 1

Step 1: Find the prime factorization of 751

751 = 751

Step 2: Find the prime factorization of 752

752 = 2 x 2 x 2 x 2 x 47

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 751 and 752 is 1