Greatest Common Factor of 7470 and 7476

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 7470, 7476 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7470 and 7476 is 6.

GCF(7470,7476) = 6

GCF of 7470 and 7476

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

GCF of:
and

Greatest Common Factor of 7470 and 7476

GCF of 7470 and 7476 is 6

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

Prime Factorization of 7476


2 7476
2 3738
3 1869
7 623
89 89
1

Prime factors of 7476 are 2,3,7,89. Prime factorization of 7476 in exponential form is:

7476 = 22×31×71×891

∴ So by taking common prime factors GCF of 7470 and 7476 is 6

Greatest Common Factor of 7470 and 7476 by matching factors method

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

Factors of 7476

List of positive integer factors of 7476 that divides 7476 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,89,178,267,356,534,623,1068,1246,1869,2492,3738,7476

Greatest Common Factor

We found the factors and prime factorization of 7470 and 7476. The biggest common factor number is the GCF number.
So the greatest common factor 7470 and 7476 is 6.

Also check out the Least Common Multiple of 7470 and 7476

Properties of GCF 7470 and 7476

(i) The GCF of 7470 and 7476 is associative

GCF of 7470 and 7476 = GCF of 7476 and 7470

Related Greatest Common Factor of 7470

Related Greatest Common Factor of 7476

Frequently Asked Questions on GCF of 7470 and 7476

1. What is the GCF of 7470 and 7476?

Answer: GCF of 7470 and 7476 is 6.

2. 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.

3. What are the Factors of 7476?

Answer: Factors of 7476 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 89, 178, 267, 356, 534, 623, 1068, 1246, 1869, 2492, 3738, 7476. There are 24 integers that are factors of 7476. The greatest factor of 7476 is 7476.

4. How to Find the GCF of 7470 and 7476?

Answer:

Greatest Common Factor of 7470 and 7476 = 6

Step 1: Find the prime factorization of 7470

7470 = 2 x 3 x 3 x 5 x 83

Step 2: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 7470 and 7476 is 6