Greatest Common Factor of 748 and 749

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

Greatest common factor (GCF) of 748 and 749 is 1.

GCF(748,749) = 1

GCF of 748 and 749

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

GCF of:
and

Greatest Common Factor of 748 and 749

GCF of 748 and 749 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 749


7 749
107 107
1

Prime factors of 749 are 7,107. Prime factorization of 749 in exponential form is:

749 = 71×1071

∴ So by taking common prime factors GCF of 748 and 749 is 1

Greatest Common Factor of 748 and 749 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 749

List of positive integer factors of 749 that divides 749 without a remainder.

1,7,107,749

Greatest Common Factor

We found the factors and prime factorization of 748 and 749. The biggest common factor number is the GCF number.
So the greatest common factor 748 and 749 is 1.

Also check out the Least Common Multiple of 748 and 749

Properties of GCF 748 and 749

(i) The GCF of 748 and 749 is associative

GCF of 748 and 749 = GCF of 749 and 748

Related Greatest Common Factor of 748

Related Greatest Common Factor of 749

Frequently Asked Questions on GCF of 748 and 749

1. What is the GCF of 748 and 749?

Answer: GCF of 748 and 749 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 749?

Answer: Factors of 749 are 1, 7, 107, 749. There are 4 integers that are factors of 749. The greatest factor of 749 is 749.

4. How to Find the GCF of 748 and 749?

Answer:

Greatest Common Factor of 748 and 749 = 1

Step 1: Find the prime factorization of 748

748 = 2 x 2 x 11 x 17

Step 2: Find the prime factorization of 749

749 = 7 x 107

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 749 is 1