Greatest Common Factor of 8435 and 8442

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 8435, 8442 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8435 and 8442 is 7.

GCF(8435,8442) = 7

GCF of 8435 and 8442

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

GCF of:
and

Greatest Common Factor of 8435 and 8442

GCF of 8435 and 8442 is 7

Prime Factorization of 8435


5 8435
7 1687
241 241
1

Prime factors of 8435 are 5,7,241. Prime factorization of 8435 in exponential form is:

8435 = 51×71×2411

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

∴ So by taking common prime factors GCF of 8435 and 8442 is 7

Greatest Common Factor of 8435 and 8442 by matching factors method

Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1,5,7,35,241,1205,1687,8435

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

Greatest Common Factor

We found the factors and prime factorization of 8435 and 8442. The biggest common factor number is the GCF number.
So the greatest common factor 8435 and 8442 is 7.

Also check out the Least Common Multiple of 8435 and 8442

Properties of GCF 8435 and 8442

(i) The GCF of 8435 and 8442 is associative

GCF of 8435 and 8442 = GCF of 8442 and 8435

Related Greatest Common Factor of 8435

Related Greatest Common Factor of 8442

Frequently Asked Questions on GCF of 8435 and 8442

1. What is the GCF of 8435 and 8442?

Answer: GCF of 8435 and 8442 is 7.

2. What are the Factors of 8435?

Answer: Factors of 8435 are 1, 5, 7, 35, 241, 1205, 1687, 8435. There are 8 integers that are factors of 8435. The greatest factor of 8435 is 8435.

3. 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.

4. How to Find the GCF of 8435 and 8442?

Answer:

Greatest Common Factor of 8435 and 8442 = 7

Step 1: Find the prime factorization of 8435

8435 = 5 x 7 x 241

Step 2: Find the prime factorization of 8442

8442 = 2 x 3 x 3 x 7 x 67

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 8435 and 8442 is 7