Greatest Common Factor of 4641 and 4648

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 4641, 4648 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4641 and 4648 is 7.

GCF(4641,4648) = 7

GCF of 4641 and 4648

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

GCF of:
and

Greatest Common Factor of 4641 and 4648

GCF of 4641 and 4648 is 7

Prime Factorization of 4641


3 4641
7 1547
13 221
17 17
1

Prime factors of 4641 are 3,7,13,17. Prime factorization of 4641 in exponential form is:

4641 = 31×71×131×171

Prime Factorization of 4648


2 4648
2 2324
2 1162
7 581
83 83
1

Prime factors of 4648 are 2,7,83. Prime factorization of 4648 in exponential form is:

4648 = 23×71×831

∴ So by taking common prime factors GCF of 4641 and 4648 is 7

Greatest Common Factor of 4641 and 4648 by matching factors method

Factors of 4641

List of positive integer factors of 4641 that divides 4641 without a remainder.

1,3,7,13,17,21,39,51,91,119,221,273,357,663,1547,4641

Factors of 4648

List of positive integer factors of 4648 that divides 4648 without a remainder.

1,2,4,7,8,14,28,56,83,166,332,581,664,1162,2324,4648

Greatest Common Factor

We found the factors and prime factorization of 4641 and 4648. The biggest common factor number is the GCF number.
So the greatest common factor 4641 and 4648 is 7.

Also check out the Least Common Multiple of 4641 and 4648

Properties of GCF 4641 and 4648

(i) The GCF of 4641 and 4648 is associative

GCF of 4641 and 4648 = GCF of 4648 and 4641

Related Greatest Common Factor of 4641

Related Greatest Common Factor of 4648

Frequently Asked Questions on GCF of 4641 and 4648

1. What is the GCF of 4641 and 4648?

Answer: GCF of 4641 and 4648 is 7.

2. What are the Factors of 4641?

Answer: Factors of 4641 are 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. There are 16 integers that are factors of 4641. The greatest factor of 4641 is 4641.

3. What are the Factors of 4648?

Answer: Factors of 4648 are 1, 2, 4, 7, 8, 14, 28, 56, 83, 166, 332, 581, 664, 1162, 2324, 4648. There are 16 integers that are factors of 4648. The greatest factor of 4648 is 4648.

4. How to Find the GCF of 4641 and 4648?

Answer:

Greatest Common Factor of 4641 and 4648 = 7

Step 1: Find the prime factorization of 4641

4641 = 3 x 7 x 13 x 17

Step 2: Find the prime factorization of 4648

4648 = 2 x 2 x 2 x 7 x 83

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

GCF = 7

Step 4: Therefore, the greatest common factor of 4641 and 4648 is 7