Greatest Common Factor of 4474 and 4477

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, 4477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4474 and 4477 is 1.

GCF(4474,4477) = 1

GCF of 4474 and 4477

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

GCF of:
and

Greatest Common Factor of 4474 and 4477

GCF of 4474 and 4477 is 1

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 4477


11 4477
11 407
37 37
1

Prime factors of 4477 are 11,37. Prime factorization of 4477 in exponential form is:

4477 = 112×371

∴ So by taking common prime factors GCF of 4474 and 4477 is 1

Greatest Common Factor of 4474 and 4477 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 4477

List of positive integer factors of 4477 that divides 4477 without a remainder.

1,11,37,121,407,4477

Greatest Common Factor

We found the factors and prime factorization of 4474 and 4477. The biggest common factor number is the GCF number.
So the greatest common factor 4474 and 4477 is 1.

Also check out the Least Common Multiple of 4474 and 4477

Properties of GCF 4474 and 4477

(i) The GCF of 4474 and 4477 is associative

GCF of 4474 and 4477 = GCF of 4477 and 4474

Related Greatest Common Factor of 4474

Related Greatest Common Factor of 4477

Frequently Asked Questions on GCF of 4474 and 4477

1. What is the GCF of 4474 and 4477?

Answer: GCF of 4474 and 4477 is 1.

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 4477?

Answer: Factors of 4477 are 1, 11, 37, 121, 407, 4477. There are 6 integers that are factors of 4477. The greatest factor of 4477 is 4477.

4. How to Find the GCF of 4474 and 4477?

Answer:

Greatest Common Factor of 4474 and 4477 = 1

Step 1: Find the prime factorization of 4474

4474 = 2 x 2237

Step 2: Find the prime factorization of 4477

4477 = 11 x 11 x 37

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 4474 and 4477 is 1