Greatest Common Factor of 4572 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 4572, 4577 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4572 and 4577 is 1.

GCF(4572,4577) = 1

GCF of 4572 and 4577

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

GCF of:
and

Greatest Common Factor of 4572 and 4577

GCF of 4572 and 4577 is 1

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 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 4572 and 4577 is 1

Greatest Common Factor of 4572 and 4577 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 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 4572 and 4577. The biggest common factor number is the GCF number.
So the greatest common factor 4572 and 4577 is 1.

Also check out the Least Common Multiple of 4572 and 4577

Properties of GCF 4572 and 4577

(i) The GCF of 4572 and 4577 is associative

GCF of 4572 and 4577 = GCF of 4577 and 4572

Frequently Asked Questions on GCF of 4572 and 4577

1. What is the GCF of 4572 and 4577?

Answer: GCF of 4572 and 4577 is 1.

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 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 4572 and 4577?

Answer:

Greatest Common Factor of 4572 and 4577 = 1

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 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 4572 and 4577 is 1