Greatest Common Factor of 4474 and 4476

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 4474, 4476 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4474 and 4476 is 2.

GCF(4474,4476) = 2

GCF of 4474 and 4476

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

GCF of:
and

Greatest Common Factor of 4474 and 4476

GCF of 4474 and 4476 is 2

Prime Factorization of 4474


2 4474
2237 2237
1

Prime factors of 4474 are 2,2237. Prime factorization of 4474 in exponential form is:

4474 = 21×22371

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

∴ So by taking common prime factors GCF of 4474 and 4476 is 2

Greatest Common Factor of 4474 and 4476 by matching factors method

Factors of 4474

List of positive integer factors of 4474 that divides 4474 without a remainder.

1,2,2237,4474

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

Greatest Common Factor

We found the factors and prime factorization of 4474 and 4476. The biggest common factor number is the GCF number.
So the greatest common factor 4474 and 4476 is 2.

Also check out the Least Common Multiple of 4474 and 4476

Properties of GCF 4474 and 4476

(i) The GCF of 4474 and 4476 is associative

GCF of 4474 and 4476 = GCF of 4476 and 4474

Related Greatest Common Factor of 4474

Related Greatest Common Factor of 4476

Frequently Asked Questions on GCF of 4474 and 4476

1. What is the GCF of 4474 and 4476?

Answer: GCF of 4474 and 4476 is 2.

2. What are the Factors of 4474?

Answer: Factors of 4474 are 1, 2, 2237, 4474. There are 4 integers that are factors of 4474. The greatest factor of 4474 is 4474.

3. 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.

4. How to Find the GCF of 4474 and 4476?

Answer:

Greatest Common Factor of 4474 and 4476 = 2

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

Step 2: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

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

GCF = 2

Step 4: Therefore, the greatest common factor of 4474 and 4476 is 2