Greatest Common Factor of 4484 and 4489

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, 4489 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4484 and 4489 is 1.

GCF(4484,4489) = 1

GCF of 4484 and 4489

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

GCF of:
and

Greatest Common Factor of 4484 and 4489

GCF of 4484 and 4489 is 1

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 4489


67 4489
67 67
1

Prime factors of 4489 are 67. Prime factorization of 4489 in exponential form is:

4489 = 672

∴ So by taking common prime factors GCF of 4484 and 4489 is 1

Greatest Common Factor of 4484 and 4489 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 4489

List of positive integer factors of 4489 that divides 4489 without a remainder.

1,67,4489

Greatest Common Factor

We found the factors and prime factorization of 4484 and 4489. The biggest common factor number is the GCF number.
So the greatest common factor 4484 and 4489 is 1.

Also check out the Least Common Multiple of 4484 and 4489

Properties of GCF 4484 and 4489

(i) The GCF of 4484 and 4489 is associative

GCF of 4484 and 4489 = GCF of 4489 and 4484

Frequently Asked Questions on GCF of 4484 and 4489

1. What is the GCF of 4484 and 4489?

Answer: GCF of 4484 and 4489 is 1.

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 4489?

Answer: Factors of 4489 are 1, 67, 4489. There are 3 integers that are factors of 4489. The greatest factor of 4489 is 4489.

4. How to Find the GCF of 4484 and 4489?

Answer:

Greatest Common Factor of 4484 and 4489 = 1

Step 1: Find the prime factorization of 4484

4484 = 2 x 2 x 19 x 59

Step 2: Find the prime factorization of 4489

4489 = 67 x 67

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 4484 and 4489 is 1