Greatest Common Factor of 745 and 748

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

Greatest common factor (GCF) of 745 and 748 is 1.

GCF(745,748) = 1

GCF of 745 and 748

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

GCF of:
and

Greatest Common Factor of 745 and 748

GCF of 745 and 748 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 748


2 748
2 374
11 187
17 17
1

Prime factors of 748 are 2,11,17. Prime factorization of 748 in exponential form is:

748 = 22×111×171

∴ So by taking common prime factors GCF of 745 and 748 is 1

Greatest Common Factor of 745 and 748 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 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors and prime factorization of 745 and 748. The biggest common factor number is the GCF number.
So the greatest common factor 745 and 748 is 1.

Also check out the Least Common Multiple of 745 and 748

Properties of GCF 745 and 748

(i) The GCF of 745 and 748 is associative

GCF of 745 and 748 = GCF of 748 and 745

Related Greatest Common Factor of 745

Related Greatest Common Factor of 748

Frequently Asked Questions on GCF of 745 and 748

1. What is the GCF of 745 and 748?

Answer: GCF of 745 and 748 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 748?

Answer: Factors of 748 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748. There are 12 integers that are factors of 748. The greatest factor of 748 is 748.

4. How to Find the GCF of 745 and 748?

Answer:

Greatest Common Factor of 745 and 748 = 1

Step 1: Find the prime factorization of 745

745 = 5 x 149

Step 2: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

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 748 is 1