Greatest Common Factor of 8946 and 8947

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 8946, 8947 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8946 and 8947 is 1.

GCF(8946,8947) = 1

GCF of 8946 and 8947

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

GCF of:
and

Greatest Common Factor of 8946 and 8947

GCF of 8946 and 8947 is 1

Prime Factorization of 8946


2 8946
3 4473
3 1491
7 497
71 71
1

Prime factors of 8946 are 2,3,7,71. Prime factorization of 8946 in exponential form is:

8946 = 21×32×71×711

Prime Factorization of 8947


23 8947
389 389
1

Prime factors of 8947 are 23,389. Prime factorization of 8947 in exponential form is:

8947 = 231×3891

∴ So by taking common prime factors GCF of 8946 and 8947 is 1

Greatest Common Factor of 8946 and 8947 by matching factors method

Factors of 8946

List of positive integer factors of 8946 that divides 8946 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,71,126,142,213,426,497,639,994,1278,1491,2982,4473,8946

Factors of 8947

List of positive integer factors of 8947 that divides 8947 without a remainder.

1,23,389,8947

Greatest Common Factor

We found the factors and prime factorization of 8946 and 8947. The biggest common factor number is the GCF number.
So the greatest common factor 8946 and 8947 is 1.

Also check out the Least Common Multiple of 8946 and 8947

Properties of GCF 8946 and 8947

(i) The GCF of 8946 and 8947 is associative

GCF of 8946 and 8947 = GCF of 8947 and 8946

Related Greatest Common Factor of 8946

Related Greatest Common Factor of 8947

Frequently Asked Questions on GCF of 8946 and 8947

1. What is the GCF of 8946 and 8947?

Answer: GCF of 8946 and 8947 is 1.

2. What are the Factors of 8946?

Answer: Factors of 8946 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 71, 126, 142, 213, 426, 497, 639, 994, 1278, 1491, 2982, 4473, 8946. There are 24 integers that are factors of 8946. The greatest factor of 8946 is 8946.

3. What are the Factors of 8947?

Answer: Factors of 8947 are 1, 23, 389, 8947. There are 4 integers that are factors of 8947. The greatest factor of 8947 is 8947.

4. How to Find the GCF of 8946 and 8947?

Answer:

Greatest Common Factor of 8946 and 8947 = 1

Step 1: Find the prime factorization of 8946

8946 = 2 x 3 x 3 x 7 x 71

Step 2: Find the prime factorization of 8947

8947 = 23 x 389

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 8946 and 8947 is 1