Greatest Common Factor of 4567 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 4567, 4572 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4567 and 4572 is 1.

GCF(4567,4572) = 1

GCF of 4567 and 4572

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

GCF of:
and

Greatest Common Factor of 4567 and 4572

GCF of 4567 and 4572 is 1

Prime Factorization of 4567


4567 4567
1

Prime factors of 4567 are 4567. Prime factorization of 4567 in exponential form is:

4567 = 45671

Prime Factorization of 4572


2 4572
2 2286
3 1143
3 381
127 127
1

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

4572 = 22×32×1271

∴ So by taking common prime factors GCF of 4567 and 4572 is 1

Greatest Common Factor of 4567 and 4572 by matching factors method

Factors of 4567

List of positive integer factors of 4567 that divides 4567 without a remainder.

1,4567

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 4567 and 4572. The biggest common factor number is the GCF number.
So the greatest common factor 4567 and 4572 is 1.

Also check out the Least Common Multiple of 4567 and 4572

Properties of GCF 4567 and 4572

(i) The GCF of 4567 and 4572 is associative

GCF of 4567 and 4572 = GCF of 4572 and 4567

Frequently Asked Questions on GCF of 4567 and 4572

1. What is the GCF of 4567 and 4572?

Answer: GCF of 4567 and 4572 is 1.

2. What are the Factors of 4567?

Answer: Factors of 4567 are 1, 4567. There are 2 integers that are factors of 4567. The greatest factor of 4567 is 4567.

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 4567 and 4572?

Answer:

Greatest Common Factor of 4567 and 4572 = 1

Step 1: Find the prime factorization of 4567

4567 = 4567

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 = = 1

Step 4: Therefore, the greatest common factor of 4567 and 4572 is 1