Greatest Common Factor of 4576 and 4577

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 4576, 4577 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4576 and 4577 is 1.

GCF(4576,4577) = 1

GCF of 4576 and 4577

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

GCF of:
and

Greatest Common Factor of 4576 and 4577

GCF of 4576 and 4577 is 1

Prime Factorization of 4576


2 4576
2 2288
2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 4576 are 2,11,13. Prime factorization of 4576 in exponential form is:

4576 = 25×111×131

Prime Factorization of 4577


23 4577
199 199
1

Prime factors of 4577 are 23,199. Prime factorization of 4577 in exponential form is:

4577 = 231×1991

∴ So by taking common prime factors GCF of 4576 and 4577 is 1

Greatest Common Factor of 4576 and 4577 by matching factors method

Factors of 4576

List of positive integer factors of 4576 that divides 4576 without a remainder.

1,2,4,8,11,13,16,22,26,32,44,52,88,104,143,176,208,286,352,416,572,1144,2288,4576

Factors of 4577

List of positive integer factors of 4577 that divides 4577 without a remainder.

1,23,199,4577

Greatest Common Factor

We found the factors and prime factorization of 4576 and 4577. The biggest common factor number is the GCF number.
So the greatest common factor 4576 and 4577 is 1.

Also check out the Least Common Multiple of 4576 and 4577

Properties of GCF 4576 and 4577

(i) The GCF of 4576 and 4577 is associative

GCF of 4576 and 4577 = GCF of 4577 and 4576

Related Greatest Common Factor of 4576

Related Greatest Common Factor of 4577

Frequently Asked Questions on GCF of 4576 and 4577

1. What is the GCF of 4576 and 4577?

Answer: GCF of 4576 and 4577 is 1.

2. What are the Factors of 4576?

Answer: Factors of 4576 are 1, 2, 4, 8, 11, 13, 16, 22, 26, 32, 44, 52, 88, 104, 143, 176, 208, 286, 352, 416, 572, 1144, 2288, 4576. There are 24 integers that are factors of 4576. The greatest factor of 4576 is 4576.

3. What are the Factors of 4577?

Answer: Factors of 4577 are 1, 23, 199, 4577. There are 4 integers that are factors of 4577. The greatest factor of 4577 is 4577.

4. How to Find the GCF of 4576 and 4577?

Answer:

Greatest Common Factor of 4576 and 4577 = 1

Step 1: Find the prime factorization of 4576

4576 = 2 x 2 x 2 x 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 4577

4577 = 23 x 199

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 4576 and 4577 is 1