Greatest Common Factor of 8652 and 8658

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, 8658 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8652 and 8658 is 6.

GCF(8652,8658) = 6

GCF of 8652 and 8658

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

GCF of:
and

Greatest Common Factor of 8652 and 8658

GCF of 8652 and 8658 is 6

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 8658


2 8658
3 4329
3 1443
13 481
37 37
1

Prime factors of 8658 are 2,3,13,37. Prime factorization of 8658 in exponential form is:

8658 = 21×32×131×371

∴ So by taking common prime factors GCF of 8652 and 8658 is 6

Greatest Common Factor of 8652 and 8658 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 8658

List of positive integer factors of 8658 that divides 8658 without a remainder.

1,2,3,6,9,13,18,26,37,39,74,78,111,117,222,234,333,481,666,962,1443,2886,4329,8658

Greatest Common Factor

We found the factors and prime factorization of 8652 and 8658. The biggest common factor number is the GCF number.
So the greatest common factor 8652 and 8658 is 6.

Also check out the Least Common Multiple of 8652 and 8658

Properties of GCF 8652 and 8658

(i) The GCF of 8652 and 8658 is associative

GCF of 8652 and 8658 = GCF of 8658 and 8652

Related Greatest Common Factor of 8652

Related Greatest Common Factor of 8658

Frequently Asked Questions on GCF of 8652 and 8658

1. What is the GCF of 8652 and 8658?

Answer: GCF of 8652 and 8658 is 6.

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 8658?

Answer: Factors of 8658 are 1, 2, 3, 6, 9, 13, 18, 26, 37, 39, 74, 78, 111, 117, 222, 234, 333, 481, 666, 962, 1443, 2886, 4329, 8658. There are 24 integers that are factors of 8658. The greatest factor of 8658 is 8658.

4. How to Find the GCF of 8652 and 8658?

Answer:

Greatest Common Factor of 8652 and 8658 = 6

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 8658

8658 = 2 x 3 x 3 x 13 x 37

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8652 and 8658 is 6