Greatest Common Factor of 747 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 747, 749 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 747 and 749 is 1.

GCF(747,749) = 1

GCF of 747 and 749

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

GCF of:
and

Greatest Common Factor of 747 and 749

GCF of 747 and 749 is 1

Prime Factorization of 747


3 747
3 249
83 83
1

Prime factors of 747 are 3,83. Prime factorization of 747 in exponential form is:

747 = 32×831

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 747 and 749 is 1

Greatest Common Factor of 747 and 749 by matching factors method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

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 747 and 749. The biggest common factor number is the GCF number.
So the greatest common factor 747 and 749 is 1.

Also check out the Least Common Multiple of 747 and 749

Properties of GCF 747 and 749

(i) The GCF of 747 and 749 is associative

GCF of 747 and 749 = GCF of 749 and 747

Related Greatest Common Factor of 747

Related Greatest Common Factor of 749

Frequently Asked Questions on GCF of 747 and 749

1. What is the GCF of 747 and 749?

Answer: GCF of 747 and 749 is 1.

2. What are the Factors of 747?

Answer: Factors of 747 are 1, 3, 9, 83, 249, 747. There are 6 integers that are factors of 747. The greatest factor of 747 is 747.

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 747 and 749?

Answer:

Greatest Common Factor of 747 and 749 = 1

Step 1: Find the prime factorization of 747

747 = 3 x 3 x 83

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 747 and 749 is 1