Greatest Common Factor of 9648 and 9652

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 9648, 9652 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9648 and 9652 is 4.

GCF(9648,9652) = 4

GCF of 9648 and 9652

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

GCF of:
and

Greatest Common Factor of 9648 and 9652

GCF of 9648 and 9652 is 4

Prime Factorization of 9648


2 9648
2 4824
2 2412
2 1206
3 603
3 201
67 67
1

Prime factors of 9648 are 2,3,67. Prime factorization of 9648 in exponential form is:

9648 = 24×32×671

Prime Factorization of 9652


2 9652
2 4826
19 2413
127 127
1

Prime factors of 9652 are 2,19,127. Prime factorization of 9652 in exponential form is:

9652 = 22×191×1271

∴ So by taking common prime factors GCF of 9648 and 9652 is 4

Greatest Common Factor of 9648 and 9652 by matching factors method

Factors of 9648

List of positive integer factors of 9648 that divides 9648 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,67,72,134,144,201,268,402,536,603,804,1072,1206,1608,2412,3216,4824,9648

Factors of 9652

List of positive integer factors of 9652 that divides 9652 without a remainder.

1,2,4,19,38,76,127,254,508,2413,4826,9652

Greatest Common Factor

We found the factors and prime factorization of 9648 and 9652. The biggest common factor number is the GCF number.
So the greatest common factor 9648 and 9652 is 4.

Also check out the Least Common Multiple of 9648 and 9652

Properties of GCF 9648 and 9652

(i) The GCF of 9648 and 9652 is associative

GCF of 9648 and 9652 = GCF of 9652 and 9648

Related Greatest Common Factor of 9648

Related Greatest Common Factor of 9652

Frequently Asked Questions on GCF of 9648 and 9652

1. What is the GCF of 9648 and 9652?

Answer: GCF of 9648 and 9652 is 4.

2. What are the Factors of 9648?

Answer: Factors of 9648 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 67, 72, 134, 144, 201, 268, 402, 536, 603, 804, 1072, 1206, 1608, 2412, 3216, 4824, 9648. There are 30 integers that are factors of 9648. The greatest factor of 9648 is 9648.

3. What are the Factors of 9652?

Answer: Factors of 9652 are 1, 2, 4, 19, 38, 76, 127, 254, 508, 2413, 4826, 9652. There are 12 integers that are factors of 9652. The greatest factor of 9652 is 9652.

4. How to Find the GCF of 9648 and 9652?

Answer:

Greatest Common Factor of 9648 and 9652 = 4

Step 1: Find the prime factorization of 9648

9648 = 2 x 2 x 2 x 2 x 3 x 3 x 67

Step 2: Find the prime factorization of 9652

9652 = 2 x 2 x 19 x 127

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 9648 and 9652 is 4