Greatest Common Factor of 742 and 747

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 742, 747 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 742 and 747 is 1.

GCF(742,747) = 1

GCF of 742 and 747

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

GCF of:
and

Greatest Common Factor of 742 and 747

GCF of 742 and 747 is 1

Prime Factorization of 742


2 742
7 371
53 53
1

Prime factors of 742 are 2,7,53. Prime factorization of 742 in exponential form is:

742 = 21×71×531

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

∴ So by taking common prime factors GCF of 742 and 747 is 1

Greatest Common Factor of 742 and 747 by matching factors method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 747

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

1,3,9,83,249,747

Greatest Common Factor

We found the factors and prime factorization of 742 and 747. The biggest common factor number is the GCF number.
So the greatest common factor 742 and 747 is 1.

Also check out the Least Common Multiple of 742 and 747

Properties of GCF 742 and 747

(i) The GCF of 742 and 747 is associative

GCF of 742 and 747 = GCF of 747 and 742

Related Greatest Common Factor of 742

Related Greatest Common Factor of 747

Frequently Asked Questions on GCF of 742 and 747

1. What is the GCF of 742 and 747?

Answer: GCF of 742 and 747 is 1.

2. What are the Factors of 742?

Answer: Factors of 742 are 1, 2, 7, 14, 53, 106, 371, 742. There are 8 integers that are factors of 742. The greatest factor of 742 is 742.

3. 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.

4. How to Find the GCF of 742 and 747?

Answer:

Greatest Common Factor of 742 and 747 = 1

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 2: Find the prime factorization of 747

747 = 3 x 3 x 83

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 742 and 747 is 1