Greatest Common Factor of 4476 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 4476, 4477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4476 and 4477 is 1.

GCF(4476,4477) = 1

GCF of 4476 and 4477

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

GCF of:
and

Greatest Common Factor of 4476 and 4477

GCF of 4476 and 4477 is 1

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 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 4476 and 4477 is 1

Greatest Common Factor of 4476 and 4477 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 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 4476 and 4477. The biggest common factor number is the GCF number.
So the greatest common factor 4476 and 4477 is 1.

Also check out the Least Common Multiple of 4476 and 4477

Properties of GCF 4476 and 4477

(i) The GCF of 4476 and 4477 is associative

GCF of 4476 and 4477 = GCF of 4477 and 4476

Frequently Asked Questions on GCF of 4476 and 4477

1. What is the GCF of 4476 and 4477?

Answer: GCF of 4476 and 4477 is 1.

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 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 4476 and 4477?

Answer:

Greatest Common Factor of 4476 and 4477 = 1

Step 1: Find the prime factorization of 4476

4476 = 2 x 2 x 3 x 373

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 4476 and 4477 is 1