Greatest Common Factor of 742 and 746

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, 746 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 742 and 746 is 2.

GCF(742,746) = 2

GCF of 742 and 746

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

GCF of:
and

Greatest Common Factor of 742 and 746

GCF of 742 and 746 is 2

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 746


2 746
373 373
1

Prime factors of 746 are 2,373. Prime factorization of 746 in exponential form is:

746 = 21×3731

∴ So by taking common prime factors GCF of 742 and 746 is 2

Greatest Common Factor of 742 and 746 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 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors and prime factorization of 742 and 746. The biggest common factor number is the GCF number.
So the greatest common factor 742 and 746 is 2.

Also check out the Least Common Multiple of 742 and 746

Properties of GCF 742 and 746

(i) The GCF of 742 and 746 is associative

GCF of 742 and 746 = GCF of 746 and 742

Related Greatest Common Factor of 742

Related Greatest Common Factor of 746

Frequently Asked Questions on GCF of 742 and 746

1. What is the GCF of 742 and 746?

Answer: GCF of 742 and 746 is 2.

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 746?

Answer: Factors of 746 are 1, 2, 373, 746. There are 4 integers that are factors of 746. The greatest factor of 746 is 746.

4. How to Find the GCF of 742 and 746?

Answer:

Greatest Common Factor of 742 and 746 = 2

Step 1: Find the prime factorization of 742

742 = 2 x 7 x 53

Step 2: Find the prime factorization of 746

746 = 2 x 373

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 742 and 746 is 2