Greatest Common Factor of 8442 and 8449

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 8442, 8449 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8442 and 8449 is 7.

GCF(8442,8449) = 7

GCF of 8442 and 8449

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

GCF of:
and

Greatest Common Factor of 8442 and 8449

GCF of 8442 and 8449 is 7

Prime Factorization of 8442


2 8442
3 4221
3 1407
7 469
67 67
1

Prime factors of 8442 are 2,3,7,67. Prime factorization of 8442 in exponential form is:

8442 = 21×32×71×671

Prime Factorization of 8449


7 8449
17 1207
71 71
1

Prime factors of 8449 are 7,17,71. Prime factorization of 8449 in exponential form is:

8449 = 71×171×711

∴ So by taking common prime factors GCF of 8442 and 8449 is 7

Greatest Common Factor of 8442 and 8449 by matching factors method

Factors of 8442

List of positive integer factors of 8442 that divides 8442 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,67,126,134,201,402,469,603,938,1206,1407,2814,4221,8442

Factors of 8449

List of positive integer factors of 8449 that divides 8449 without a remainder.

1,7,17,71,119,497,1207,8449

Greatest Common Factor

We found the factors and prime factorization of 8442 and 8449. The biggest common factor number is the GCF number.
So the greatest common factor 8442 and 8449 is 7.

Also check out the Least Common Multiple of 8442 and 8449

Properties of GCF 8442 and 8449

(i) The GCF of 8442 and 8449 is associative

GCF of 8442 and 8449 = GCF of 8449 and 8442

Related Greatest Common Factor of 8442

Related Greatest Common Factor of 8449

Frequently Asked Questions on GCF of 8442 and 8449

1. What is the GCF of 8442 and 8449?

Answer: GCF of 8442 and 8449 is 7.

2. What are the Factors of 8442?

Answer: Factors of 8442 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 67, 126, 134, 201, 402, 469, 603, 938, 1206, 1407, 2814, 4221, 8442. There are 24 integers that are factors of 8442. The greatest factor of 8442 is 8442.

3. What are the Factors of 8449?

Answer: Factors of 8449 are 1, 7, 17, 71, 119, 497, 1207, 8449. There are 8 integers that are factors of 8449. The greatest factor of 8449 is 8449.

4. How to Find the GCF of 8442 and 8449?

Answer:

Greatest Common Factor of 8442 and 8449 = 7

Step 1: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

Step 2: Find the prime factorization of 8449

8449 = 7 x 17 x 71

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 8442 and 8449 is 7