Greatest Common Factor of 748 and 753

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 748, 753 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 748 and 753 is 1.

GCF(748,753) = 1

GCF of 748 and 753

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

GCF of:
and

Greatest Common Factor of 748 and 753

GCF of 748 and 753 is 1

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

Prime Factorization of 753


3 753
251 251
1

Prime factors of 753 are 3,251. Prime factorization of 753 in exponential form is:

753 = 31×2511

∴ So by taking common prime factors GCF of 748 and 753 is 1

Greatest Common Factor of 748 and 753 by matching factors method

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

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors and prime factorization of 748 and 753. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 753 is 1.

Also check out the Least Common Multiple of 748 and 753

Properties of GCF 748 and 753

(i) The GCF of 748 and 753 is associative

GCF of 748 and 753 = GCF of 753 and 748

Related Greatest Common Factor of 748

Related Greatest Common Factor of 753

Frequently Asked Questions on GCF of 748 and 753

1. What is the GCF of 748 and 753?

Answer: GCF of 748 and 753 is 1.

2. 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.

3. What are the Factors of 753?

Answer: Factors of 753 are 1, 3, 251, 753. There are 4 integers that are factors of 753. The greatest factor of 753 is 753.

4. How to Find the GCF of 748 and 753?

Answer:

Greatest Common Factor of 748 and 753 = 1

Step 1: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 753

753 = 3 x 251

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 748 and 753 is 1