Greatest Common Factor of 7466 and 7470

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 7466, 7470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7466 and 7470 is 2.

GCF(7466,7470) = 2

GCF of 7466 and 7470

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

GCF of:
and

Greatest Common Factor of 7466 and 7470

GCF of 7466 and 7470 is 2

Prime Factorization of 7466


2 7466
3733 3733
1

Prime factors of 7466 are 2,3733. Prime factorization of 7466 in exponential form is:

7466 = 21×37331

Prime Factorization of 7470


2 7470
3 3735
3 1245
5 415
83 83
1

Prime factors of 7470 are 2,3,5,83. Prime factorization of 7470 in exponential form is:

7470 = 21×32×51×831

∴ So by taking common prime factors GCF of 7466 and 7470 is 2

Greatest Common Factor of 7466 and 7470 by matching factors method

Factors of 7466

List of positive integer factors of 7466 that divides 7466 without a remainder.

1,2,3733,7466

Factors of 7470

List of positive integer factors of 7470 that divides 7470 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470

Greatest Common Factor

We found the factors and prime factorization of 7466 and 7470. The biggest common factor number is the GCF number.
So the greatest common factor 7466 and 7470 is 2.

Also check out the Least Common Multiple of 7466 and 7470

Properties of GCF 7466 and 7470

(i) The GCF of 7466 and 7470 is associative

GCF of 7466 and 7470 = GCF of 7470 and 7466

Related Greatest Common Factor of 7466

Related Greatest Common Factor of 7470

Frequently Asked Questions on GCF of 7466 and 7470

1. What is the GCF of 7466 and 7470?

Answer: GCF of 7466 and 7470 is 2.

2. What are the Factors of 7466?

Answer: Factors of 7466 are 1, 2, 3733, 7466. There are 4 integers that are factors of 7466. The greatest factor of 7466 is 7466.

3. What are the Factors of 7470?

Answer: Factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470. There are 24 integers that are factors of 7470. The greatest factor of 7470 is 7470.

4. How to Find the GCF of 7466 and 7470?

Answer:

Greatest Common Factor of 7466 and 7470 = 2

Step 1: Find the prime factorization of 7466

7466 = 2 x 3733

Step 2: Find the prime factorization of 7470

7470 = 2 x 3 x 3 x 5 x 83

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 7466 and 7470 is 2