Greatest Common Factor of 8652 and 8660

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, 8660 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8652 and 8660 is 4.

GCF(8652,8660) = 4

GCF of 8652 and 8660

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

GCF of:
and

Greatest Common Factor of 8652 and 8660

GCF of 8652 and 8660 is 4

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 8660


2 8660
2 4330
5 2165
433 433
1

Prime factors of 8660 are 2,5,433. Prime factorization of 8660 in exponential form is:

8660 = 22×51×4331

∴ So by taking common prime factors GCF of 8652 and 8660 is 4

Greatest Common Factor of 8652 and 8660 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 8660

List of positive integer factors of 8660 that divides 8660 without a remainder.

1,2,4,5,10,20,433,866,1732,2165,4330,8660

Greatest Common Factor

We found the factors and prime factorization of 8652 and 8660. The biggest common factor number is the GCF number.
So the greatest common factor 8652 and 8660 is 4.

Also check out the Least Common Multiple of 8652 and 8660

Properties of GCF 8652 and 8660

(i) The GCF of 8652 and 8660 is associative

GCF of 8652 and 8660 = GCF of 8660 and 8652

Related Greatest Common Factor of 8652

Related Greatest Common Factor of 8660

Frequently Asked Questions on GCF of 8652 and 8660

1. What is the GCF of 8652 and 8660?

Answer: GCF of 8652 and 8660 is 4.

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 8660?

Answer: Factors of 8660 are 1, 2, 4, 5, 10, 20, 433, 866, 1732, 2165, 4330, 8660. There are 12 integers that are factors of 8660. The greatest factor of 8660 is 8660.

4. How to Find the GCF of 8652 and 8660?

Answer:

Greatest Common Factor of 8652 and 8660 = 4

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 8660

8660 = 2 x 2 x 5 x 433

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8652 and 8660 is 4