Greatest Common Factor of 4544 and 4548

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 4544, 4548 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4544 and 4548 is 4.

GCF(4544,4548) = 4

GCF of 4544 and 4548

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

GCF of:
and

Greatest Common Factor of 4544 and 4548

GCF of 4544 and 4548 is 4

Prime Factorization of 4544


2 4544
2 2272
2 1136
2 568
2 284
2 142
71 71
1

Prime factors of 4544 are 2,71. Prime factorization of 4544 in exponential form is:

4544 = 26×711

Prime Factorization of 4548


2 4548
2 2274
3 1137
379 379
1

Prime factors of 4548 are 2,3,379. Prime factorization of 4548 in exponential form is:

4548 = 22×31×3791

∴ So by taking common prime factors GCF of 4544 and 4548 is 4

Greatest Common Factor of 4544 and 4548 by matching factors method

Factors of 4544

List of positive integer factors of 4544 that divides 4544 without a remainder.

1,2,4,8,16,32,64,71,142,284,568,1136,2272,4544

Factors of 4548

List of positive integer factors of 4548 that divides 4548 without a remainder.

1,2,3,4,6,12,379,758,1137,1516,2274,4548

Greatest Common Factor

We found the factors and prime factorization of 4544 and 4548. The biggest common factor number is the GCF number.
So the greatest common factor 4544 and 4548 is 4.

Also check out the Least Common Multiple of 4544 and 4548

Properties of GCF 4544 and 4548

(i) The GCF of 4544 and 4548 is associative

GCF of 4544 and 4548 = GCF of 4548 and 4544

Related Greatest Common Factor of 4544

Related Greatest Common Factor of 4548

Frequently Asked Questions on GCF of 4544 and 4548

1. What is the GCF of 4544 and 4548?

Answer: GCF of 4544 and 4548 is 4.

2. What are the Factors of 4544?

Answer: Factors of 4544 are 1, 2, 4, 8, 16, 32, 64, 71, 142, 284, 568, 1136, 2272, 4544. There are 14 integers that are factors of 4544. The greatest factor of 4544 is 4544.

3. What are the Factors of 4548?

Answer: Factors of 4548 are 1, 2, 3, 4, 6, 12, 379, 758, 1137, 1516, 2274, 4548. There are 12 integers that are factors of 4548. The greatest factor of 4548 is 4548.

4. How to Find the GCF of 4544 and 4548?

Answer:

Greatest Common Factor of 4544 and 4548 = 4

Step 1: Find the prime factorization of 4544

4544 = 2 x 2 x 2 x 2 x 2 x 2 x 71

Step 2: Find the prime factorization of 4548

4548 = 2 x 2 x 3 x 379

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 4544 and 4548 is 4