Greatest Common Factor of 4476 and 4484

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 4476, 4484 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4476 and 4484 is 4.

GCF(4476,4484) = 4

GCF of 4476 and 4484

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

GCF of:
and

Greatest Common Factor of 4476 and 4484

GCF of 4476 and 4484 is 4

Prime Factorization of 4476


2 4476
2 2238
3 1119
373 373
1

Prime factors of 4476 are 2,3,373. Prime factorization of 4476 in exponential form is:

4476 = 22×31×3731

Prime Factorization of 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2,19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

∴ So by taking common prime factors GCF of 4476 and 4484 is 4

Greatest Common Factor of 4476 and 4484 by matching factors method

Factors of 4476

List of positive integer factors of 4476 that divides 4476 without a remainder.

1,2,3,4,6,12,373,746,1119,1492,2238,4476

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Greatest Common Factor

We found the factors and prime factorization of 4476 and 4484. The biggest common factor number is the GCF number.
So the greatest common factor 4476 and 4484 is 4.

Also check out the Least Common Multiple of 4476 and 4484

Properties of GCF 4476 and 4484

(i) The GCF of 4476 and 4484 is associative

GCF of 4476 and 4484 = GCF of 4484 and 4476

Related Greatest Common Factor of 4476

Related Greatest Common Factor of 4484

Frequently Asked Questions on GCF of 4476 and 4484

1. What is the GCF of 4476 and 4484?

Answer: GCF of 4476 and 4484 is 4.

2. What are the Factors of 4476?

Answer: Factors of 4476 are 1, 2, 3, 4, 6, 12, 373, 746, 1119, 1492, 2238, 4476. There are 12 integers that are factors of 4476. The greatest factor of 4476 is 4476.

3. What are the Factors of 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

4. How to Find the GCF of 4476 and 4484?

Answer:

Greatest Common Factor of 4476 and 4484 = 4

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

Step 2: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

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 4476 and 4484 is 4