Greatest Common Factor of 8554 and 8562

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 8554, 8562 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8554 and 8562 is 2.

GCF(8554,8562) = 2

GCF of 8554 and 8562

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

GCF of:
and

Greatest Common Factor of 8554 and 8562

GCF of 8554 and 8562 is 2

Prime Factorization of 8554


2 8554
7 4277
13 611
47 47
1

Prime factors of 8554 are 2,7,13,47. Prime factorization of 8554 in exponential form is:

8554 = 21×71×131×471

Prime Factorization of 8562


2 8562
3 4281
1427 1427
1

Prime factors of 8562 are 2,3,1427. Prime factorization of 8562 in exponential form is:

8562 = 21×31×14271

∴ So by taking common prime factors GCF of 8554 and 8562 is 2

Greatest Common Factor of 8554 and 8562 by matching factors method

Factors of 8554

List of positive integer factors of 8554 that divides 8554 without a remainder.

1,2,7,13,14,26,47,91,94,182,329,611,658,1222,4277,8554

Factors of 8562

List of positive integer factors of 8562 that divides 8562 without a remainder.

1,2,3,6,1427,2854,4281,8562

Greatest Common Factor

We found the factors and prime factorization of 8554 and 8562. The biggest common factor number is the GCF number.
So the greatest common factor 8554 and 8562 is 2.

Also check out the Least Common Multiple of 8554 and 8562

Properties of GCF 8554 and 8562

(i) The GCF of 8554 and 8562 is associative

GCF of 8554 and 8562 = GCF of 8562 and 8554

Related Greatest Common Factor of 8554

Related Greatest Common Factor of 8562

Frequently Asked Questions on GCF of 8554 and 8562

1. What is the GCF of 8554 and 8562?

Answer: GCF of 8554 and 8562 is 2.

2. What are the Factors of 8554?

Answer: Factors of 8554 are 1, 2, 7, 13, 14, 26, 47, 91, 94, 182, 329, 611, 658, 1222, 4277, 8554. There are 16 integers that are factors of 8554. The greatest factor of 8554 is 8554.

3. What are the Factors of 8562?

Answer: Factors of 8562 are 1, 2, 3, 6, 1427, 2854, 4281, 8562. There are 8 integers that are factors of 8562. The greatest factor of 8562 is 8562.

4. How to Find the GCF of 8554 and 8562?

Answer:

Greatest Common Factor of 8554 and 8562 = 2

Step 1: Find the prime factorization of 8554

8554 = 2 x 7 x 13 x 47

Step 2: Find the prime factorization of 8562

8562 = 2 x 3 x 1427

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8554 and 8562 is 2