Greatest Common Factor of 7472 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 7472, 7476 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7472 and 7476 is 4.

GCF(7472,7476) = 4

GCF of 7472 and 7476

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

GCF of:
and

Greatest Common Factor of 7472 and 7476

GCF of 7472 and 7476 is 4

Prime Factorization of 7472


2 7472
2 3736
2 1868
2 934
467 467
1

Prime factors of 7472 are 2,467. Prime factorization of 7472 in exponential form is:

7472 = 24×4671

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 7472 and 7476 is 4

Greatest Common Factor of 7472 and 7476 by matching factors method

Factors of 7472

List of positive integer factors of 7472 that divides 7472 without a remainder.

1,2,4,8,16,467,934,1868,3736,7472

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 7472 and 7476. The biggest common factor number is the GCF number.
So the greatest common factor 7472 and 7476 is 4.

Also check out the Least Common Multiple of 7472 and 7476

Properties of GCF 7472 and 7476

(i) The GCF of 7472 and 7476 is associative

GCF of 7472 and 7476 = GCF of 7476 and 7472

Related Greatest Common Factor of 7472

Related Greatest Common Factor of 7476

Frequently Asked Questions on GCF of 7472 and 7476

1. What is the GCF of 7472 and 7476?

Answer: GCF of 7472 and 7476 is 4.

2. What are the Factors of 7472?

Answer: Factors of 7472 are 1, 2, 4, 8, 16, 467, 934, 1868, 3736, 7472. There are 10 integers that are factors of 7472. The greatest factor of 7472 is 7472.

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 7472 and 7476?

Answer:

Greatest Common Factor of 7472 and 7476 = 4

Step 1: Find the prime factorization of 7472

7472 = 2 x 2 x 2 x 2 x 467

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 2 = 4

Step 4: Therefore, the greatest common factor of 7472 and 7476 is 4