Greatest Common Factor of 4472 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 4472, 4477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4472 and 4477 is 1.

GCF(4472,4477) = 1

GCF of 4472 and 4477

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

GCF of:
and

Greatest Common Factor of 4472 and 4477

GCF of 4472 and 4477 is 1

Prime Factorization of 4472


2 4472
2 2236
2 1118
13 559
43 43
1

Prime factors of 4472 are 2,13,43. Prime factorization of 4472 in exponential form is:

4472 = 23×131×431

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 4472 and 4477 is 1

Greatest Common Factor of 4472 and 4477 by matching factors method

Factors of 4472

List of positive integer factors of 4472 that divides 4472 without a remainder.

1,2,4,8,13,26,43,52,86,104,172,344,559,1118,2236,4472

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 4472 and 4477. The biggest common factor number is the GCF number.
So the greatest common factor 4472 and 4477 is 1.

Also check out the Least Common Multiple of 4472 and 4477

Properties of GCF 4472 and 4477

(i) The GCF of 4472 and 4477 is associative

GCF of 4472 and 4477 = GCF of 4477 and 4472

Related Greatest Common Factor of 4472

Related Greatest Common Factor of 4477

Frequently Asked Questions on GCF of 4472 and 4477

1. What is the GCF of 4472 and 4477?

Answer: GCF of 4472 and 4477 is 1.

2. What are the Factors of 4472?

Answer: Factors of 4472 are 1, 2, 4, 8, 13, 26, 43, 52, 86, 104, 172, 344, 559, 1118, 2236, 4472. There are 16 integers that are factors of 4472. The greatest factor of 4472 is 4472.

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 4472 and 4477?

Answer:

Greatest Common Factor of 4472 and 4477 = 1

Step 1: Find the prime factorization of 4472

4472 = 2 x 2 x 2 x 13 x 43

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 4472 and 4477 is 1