Greatest Common Factor of 7476 and 7479

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, 7479 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7476 and 7479 is 3.

GCF(7476,7479) = 3

GCF of 7476 and 7479

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

GCF of:
and

Greatest Common Factor of 7476 and 7479

GCF of 7476 and 7479 is 3

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 7479


3 7479
3 2493
3 831
277 277
1

Prime factors of 7479 are 3,277. Prime factorization of 7479 in exponential form is:

7479 = 33×2771

∴ So by taking common prime factors GCF of 7476 and 7479 is 3

Greatest Common Factor of 7476 and 7479 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 7479

List of positive integer factors of 7479 that divides 7479 without a remainder.

1,3,9,27,277,831,2493,7479

Greatest Common Factor

We found the factors and prime factorization of 7476 and 7479. The biggest common factor number is the GCF number.
So the greatest common factor 7476 and 7479 is 3.

Also check out the Least Common Multiple of 7476 and 7479

Properties of GCF 7476 and 7479

(i) The GCF of 7476 and 7479 is associative

GCF of 7476 and 7479 = GCF of 7479 and 7476

Related Greatest Common Factor of 7476

Related Greatest Common Factor of 7479

Frequently Asked Questions on GCF of 7476 and 7479

1. What is the GCF of 7476 and 7479?

Answer: GCF of 7476 and 7479 is 3.

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 7479?

Answer: Factors of 7479 are 1, 3, 9, 27, 277, 831, 2493, 7479. There are 8 integers that are factors of 7479. The greatest factor of 7479 is 7479.

4. How to Find the GCF of 7476 and 7479?

Answer:

Greatest Common Factor of 7476 and 7479 = 3

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 7479

7479 = 3 x 3 x 3 x 277

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

GCF = 3

Step 4: Therefore, the greatest common factor of 7476 and 7479 is 3