Greatest Common Factor of 745 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 745, 752 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 745 and 752 is 1.

GCF(745,752) = 1

GCF of 745 and 752

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

GCF of:
and

Greatest Common Factor of 745 and 752

GCF of 745 and 752 is 1

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

Prime Factorization of 752


2 752
2 376
2 188
2 94
47 47
1

Prime factors of 752 are 2,47. Prime factorization of 752 in exponential form is:

752 = 24×471

∴ So by taking common prime factors GCF of 745 and 752 is 1

Greatest Common Factor of 745 and 752 by matching factors method

Factors of 745

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

1,5,149,745

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 745 and 752. The biggest common factor number is the GCF number.
So the greatest common factor 745 and 752 is 1.

Also check out the Least Common Multiple of 745 and 752

Properties of GCF 745 and 752

(i) The GCF of 745 and 752 is associative

GCF of 745 and 752 = GCF of 752 and 745

Related Greatest Common Factor of 745

Related Greatest Common Factor of 752

Frequently Asked Questions on GCF of 745 and 752

1. What is the GCF of 745 and 752?

Answer: GCF of 745 and 752 is 1.

2. 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.

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 745 and 752?

Answer:

Greatest Common Factor of 745 and 752 = 1

Step 1: Find the prime factorization of 745

745 = 5 x 149

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 745 and 752 is 1