Greatest Common Factor of 4572 and 4576

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 4572, 4576 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4572 and 4576 is 4.

GCF(4572,4576) = 4

GCF of 4572 and 4576

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

GCF of:
and

Greatest Common Factor of 4572 and 4576

GCF of 4572 and 4576 is 4

Prime Factorization of 4572


2 4572
2 2286
3 1143
3 381
127 127
1

Prime factors of 4572 are 2,3,127. Prime factorization of 4572 in exponential form is:

4572 = 22×32×1271

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

∴ So by taking common prime factors GCF of 4572 and 4576 is 4

Greatest Common Factor of 4572 and 4576 by matching factors method

Factors of 4572

List of positive integer factors of 4572 that divides 4572 without a remainder.

1,2,3,4,6,9,12,18,36,127,254,381,508,762,1143,1524,2286,4572

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

Greatest Common Factor

We found the factors and prime factorization of 4572 and 4576. The biggest common factor number is the GCF number.
So the greatest common factor 4572 and 4576 is 4.

Also check out the Least Common Multiple of 4572 and 4576

Properties of GCF 4572 and 4576

(i) The GCF of 4572 and 4576 is associative

GCF of 4572 and 4576 = GCF of 4576 and 4572

Related Greatest Common Factor of 4572

Related Greatest Common Factor of 4576

Frequently Asked Questions on GCF of 4572 and 4576

1. What is the GCF of 4572 and 4576?

Answer: GCF of 4572 and 4576 is 4.

2. What are the Factors of 4572?

Answer: Factors of 4572 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 127, 254, 381, 508, 762, 1143, 1524, 2286, 4572. There are 18 integers that are factors of 4572. The greatest factor of 4572 is 4572.

3. 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.

4. How to Find the GCF of 4572 and 4576?

Answer:

Greatest Common Factor of 4572 and 4576 = 4

Step 1: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

Step 2: Find the prime factorization of 4576

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

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 4572 and 4576 is 4