Greatest Common Factor of 8652 and 8654

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 8652, 8654 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8652 and 8654 is 2.

GCF(8652,8654) = 2

GCF of 8652 and 8654

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

GCF of:
and

Greatest Common Factor of 8652 and 8654

GCF of 8652 and 8654 is 2

Prime Factorization of 8652


2 8652
2 4326
3 2163
7 721
103 103
1

Prime factors of 8652 are 2,3,7,103. Prime factorization of 8652 in exponential form is:

8652 = 22×31×71×1031

Prime Factorization of 8654


2 8654
4327 4327
1

Prime factors of 8654 are 2,4327. Prime factorization of 8654 in exponential form is:

8654 = 21×43271

∴ So by taking common prime factors GCF of 8652 and 8654 is 2

Greatest Common Factor of 8652 and 8654 by matching factors method

Factors of 8652

List of positive integer factors of 8652 that divides 8652 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652

Factors of 8654

List of positive integer factors of 8654 that divides 8654 without a remainder.

1,2,4327,8654

Greatest Common Factor

We found the factors and prime factorization of 8652 and 8654. The biggest common factor number is the GCF number.
So the greatest common factor 8652 and 8654 is 2.

Also check out the Least Common Multiple of 8652 and 8654

Properties of GCF 8652 and 8654

(i) The GCF of 8652 and 8654 is associative

GCF of 8652 and 8654 = GCF of 8654 and 8652

Related Greatest Common Factor of 8652

Related Greatest Common Factor of 8654

Frequently Asked Questions on GCF of 8652 and 8654

1. What is the GCF of 8652 and 8654?

Answer: GCF of 8652 and 8654 is 2.

2. What are the Factors of 8652?

Answer: Factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652. There are 24 integers that are factors of 8652. The greatest factor of 8652 is 8652.

3. What are the Factors of 8654?

Answer: Factors of 8654 are 1, 2, 4327, 8654. There are 4 integers that are factors of 8654. The greatest factor of 8654 is 8654.

4. How to Find the GCF of 8652 and 8654?

Answer:

Greatest Common Factor of 8652 and 8654 = 2

Step 1: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

Step 2: Find the prime factorization of 8654

8654 = 2 x 4327

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 8652 and 8654 is 2