Greatest Common Factor of 4564 and 4572

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 4564, 4572 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4564 and 4572 is 4.

GCF(4564,4572) = 4

GCF of 4564 and 4572

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

GCF of:
and

Greatest Common Factor of 4564 and 4572

GCF of 4564 and 4572 is 4

Prime Factorization of 4564


2 4564
2 2282
7 1141
163 163
1

Prime factors of 4564 are 2,7,163. Prime factorization of 4564 in exponential form is:

4564 = 22×71×1631

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

∴ So by taking common prime factors GCF of 4564 and 4572 is 4

Greatest Common Factor of 4564 and 4572 by matching factors method

Factors of 4564

List of positive integer factors of 4564 that divides 4564 without a remainder.

1,2,4,7,14,28,163,326,652,1141,2282,4564

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

Greatest Common Factor

We found the factors and prime factorization of 4564 and 4572. The biggest common factor number is the GCF number.
So the greatest common factor 4564 and 4572 is 4.

Also check out the Least Common Multiple of 4564 and 4572

Properties of GCF 4564 and 4572

(i) The GCF of 4564 and 4572 is associative

GCF of 4564 and 4572 = GCF of 4572 and 4564

Related Greatest Common Factor of 4564

Related Greatest Common Factor of 4572

Frequently Asked Questions on GCF of 4564 and 4572

1. What is the GCF of 4564 and 4572?

Answer: GCF of 4564 and 4572 is 4.

2. What are the Factors of 4564?

Answer: Factors of 4564 are 1, 2, 4, 7, 14, 28, 163, 326, 652, 1141, 2282, 4564. There are 12 integers that are factors of 4564. The greatest factor of 4564 is 4564.

3. 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.

4. How to Find the GCF of 4564 and 4572?

Answer:

Greatest Common Factor of 4564 and 4572 = 4

Step 1: Find the prime factorization of 4564

4564 = 2 x 2 x 7 x 163

Step 2: Find the prime factorization of 4572

4572 = 2 x 2 x 3 x 3 x 127

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 4564 and 4572 is 4