Greatest Common Factor of 7468 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 7468, 7470 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7468 and 7470 is 2.

GCF(7468,7470) = 2

GCF of 7468 and 7470

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

GCF of:
and

Greatest Common Factor of 7468 and 7470

GCF of 7468 and 7470 is 2

Prime Factorization of 7468


2 7468
2 3734
1867 1867
1

Prime factors of 7468 are 2,1867. Prime factorization of 7468 in exponential form is:

7468 = 22×18671

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 7468 and 7470 is 2

Greatest Common Factor of 7468 and 7470 by matching factors method

Factors of 7468

List of positive integer factors of 7468 that divides 7468 without a remainder.

1,2,4,1867,3734,7468

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 7468 and 7470. The biggest common factor number is the GCF number.
So the greatest common factor 7468 and 7470 is 2.

Also check out the Least Common Multiple of 7468 and 7470

Properties of GCF 7468 and 7470

(i) The GCF of 7468 and 7470 is associative

GCF of 7468 and 7470 = GCF of 7470 and 7468

Related Greatest Common Factor of 7468

Related Greatest Common Factor of 7470

Frequently Asked Questions on GCF of 7468 and 7470

1. What is the GCF of 7468 and 7470?

Answer: GCF of 7468 and 7470 is 2.

2. What are the Factors of 7468?

Answer: Factors of 7468 are 1, 2, 4, 1867, 3734, 7468. There are 6 integers that are factors of 7468. The greatest factor of 7468 is 7468.

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 7468 and 7470?

Answer:

Greatest Common Factor of 7468 and 7470 = 2

Step 1: Find the prime factorization of 7468

7468 = 2 x 2 x 1867

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 7468 and 7470 is 2