Greatest Common Factor of 7476 and 7480

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 7476, 7480 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7476 and 7480 is 4.

GCF(7476,7480) = 4

GCF of 7476 and 7480

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

GCF of:
and

Greatest Common Factor of 7476 and 7480

GCF of 7476 and 7480 is 4

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

Prime Factorization of 7480


2 7480
2 3740
2 1870
5 935
11 187
17 17
1

Prime factors of 7480 are 2,5,11,17. Prime factorization of 7480 in exponential form is:

7480 = 23×51×111×171

∴ So by taking common prime factors GCF of 7476 and 7480 is 4

Greatest Common Factor of 7476 and 7480 by matching factors method

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

Factors of 7480

List of positive integer factors of 7480 that divides 7480 without a remainder.

1,2,4,5,8,10,11,17,20,22,34,40,44,55,68,85,88,110,136,170,187,220,340,374,440,680,748,935,1496,1870,3740,7480

Greatest Common Factor

We found the factors and prime factorization of 7476 and 7480. The biggest common factor number is the GCF number.
So the greatest common factor 7476 and 7480 is 4.

Also check out the Least Common Multiple of 7476 and 7480

Properties of GCF 7476 and 7480

(i) The GCF of 7476 and 7480 is associative

GCF of 7476 and 7480 = GCF of 7480 and 7476

Related Greatest Common Factor of 7476

Related Greatest Common Factor of 7480

Frequently Asked Questions on GCF of 7476 and 7480

1. What is the GCF of 7476 and 7480?

Answer: GCF of 7476 and 7480 is 4.

2. 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.

3. What are the Factors of 7480?

Answer: Factors of 7480 are 1, 2, 4, 5, 8, 10, 11, 17, 20, 22, 34, 40, 44, 55, 68, 85, 88, 110, 136, 170, 187, 220, 340, 374, 440, 680, 748, 935, 1496, 1870, 3740, 7480. There are 32 integers that are factors of 7480. The greatest factor of 7480 is 7480.

4. How to Find the GCF of 7476 and 7480?

Answer:

Greatest Common Factor of 7476 and 7480 = 4

Step 1: Find the prime factorization of 7476

7476 = 2 x 2 x 3 x 7 x 89

Step 2: Find the prime factorization of 7480

7480 = 2 x 2 x 2 x 5 x 11 x 17

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 7476 and 7480 is 4