Greatest Common Factor of 8648 and 8652

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 8648, 8652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8648 and 8652 is 4.

GCF(8648,8652) = 4

GCF of 8648 and 8652

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

GCF of:
and

Greatest Common Factor of 8648 and 8652

GCF of 8648 and 8652 is 4

Prime Factorization of 8648


2 8648
2 4324
2 2162
23 1081
47 47
1

Prime factors of 8648 are 2,23,47. Prime factorization of 8648 in exponential form is:

8648 = 23×231×471

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

∴ So by taking common prime factors GCF of 8648 and 8652 is 4

Greatest Common Factor of 8648 and 8652 by matching factors method

Factors of 8648

List of positive integer factors of 8648 that divides 8648 without a remainder.

1,2,4,8,23,46,47,92,94,184,188,376,1081,2162,4324,8648

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

Greatest Common Factor

We found the factors and prime factorization of 8648 and 8652. The biggest common factor number is the GCF number.
So the greatest common factor 8648 and 8652 is 4.

Also check out the Least Common Multiple of 8648 and 8652

Properties of GCF 8648 and 8652

(i) The GCF of 8648 and 8652 is associative

GCF of 8648 and 8652 = GCF of 8652 and 8648

Related Greatest Common Factor of 8648

Related Greatest Common Factor of 8652

Frequently Asked Questions on GCF of 8648 and 8652

1. What is the GCF of 8648 and 8652?

Answer: GCF of 8648 and 8652 is 4.

2. What are the Factors of 8648?

Answer: Factors of 8648 are 1, 2, 4, 8, 23, 46, 47, 92, 94, 184, 188, 376, 1081, 2162, 4324, 8648. There are 16 integers that are factors of 8648. The greatest factor of 8648 is 8648.

3. 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.

4. How to Find the GCF of 8648 and 8652?

Answer:

Greatest Common Factor of 8648 and 8652 = 4

Step 1: Find the prime factorization of 8648

8648 = 2 x 2 x 2 x 23 x 47

Step 2: Find the prime factorization of 8652

8652 = 2 x 2 x 3 x 7 x 103

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 8648 and 8652 is 4