Greatest Common Factor of 4484 and 4492

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 4484, 4492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4484 and 4492 is 4.

GCF(4484,4492) = 4

GCF of 4484 and 4492

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

GCF of:
and

Greatest Common Factor of 4484 and 4492

GCF of 4484 and 4492 is 4

Prime Factorization of 4484


2 4484
2 2242
19 1121
59 59
1

Prime factors of 4484 are 2,19,59. Prime factorization of 4484 in exponential form is:

4484 = 22×191×591

Prime Factorization of 4492


2 4492
2 2246
1123 1123
1

Prime factors of 4492 are 2,1123. Prime factorization of 4492 in exponential form is:

4492 = 22×11231

∴ So by taking common prime factors GCF of 4484 and 4492 is 4

Greatest Common Factor of 4484 and 4492 by matching factors method

Factors of 4484

List of positive integer factors of 4484 that divides 4484 without a remainder.

1,2,4,19,38,59,76,118,236,1121,2242,4484

Factors of 4492

List of positive integer factors of 4492 that divides 4492 without a remainder.

1,2,4,1123,2246,4492

Greatest Common Factor

We found the factors and prime factorization of 4484 and 4492. The biggest common factor number is the GCF number.
So the greatest common factor 4484 and 4492 is 4.

Also check out the Least Common Multiple of 4484 and 4492

Properties of GCF 4484 and 4492

(i) The GCF of 4484 and 4492 is associative

GCF of 4484 and 4492 = GCF of 4492 and 4484

Related Greatest Common Factor of 4484

Related Greatest Common Factor of 4492

Frequently Asked Questions on GCF of 4484 and 4492

1. What is the GCF of 4484 and 4492?

Answer: GCF of 4484 and 4492 is 4.

2. What are the Factors of 4484?

Answer: Factors of 4484 are 1, 2, 4, 19, 38, 59, 76, 118, 236, 1121, 2242, 4484. There are 12 integers that are factors of 4484. The greatest factor of 4484 is 4484.

3. What are the Factors of 4492?

Answer: Factors of 4492 are 1, 2, 4, 1123, 2246, 4492. There are 6 integers that are factors of 4492. The greatest factor of 4492 is 4492.

4. How to Find the GCF of 4484 and 4492?

Answer:

Greatest Common Factor of 4484 and 4492 = 4

Step 1: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

Step 2: Find the prime factorization of 4492

4492 = 2 x 2 x 1123

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 4484 and 4492 is 4