Greatest Common Factor of 4144 and 4148

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 4144, 4148 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 4144 and 4148 is 4.

GCF(4144,4148) = 4

GCF of 4144 and 4148

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

GCF of:
and

Greatest Common Factor of 4144 and 4148

GCF of 4144 and 4148 is 4

Prime Factorization of 4144


2 4144
2 2072
2 1036
2 518
7 259
37 37
1

Prime factors of 4144 are 2,7,37. Prime factorization of 4144 in exponential form is:

4144 = 24×71×371

Prime Factorization of 4148


2 4148
2 2074
17 1037
61 61
1

Prime factors of 4148 are 2,17,61. Prime factorization of 4148 in exponential form is:

4148 = 22×171×611

∴ So by taking common prime factors GCF of 4144 and 4148 is 4

Greatest Common Factor of 4144 and 4148 by matching factors method

Factors of 4144

List of positive integer factors of 4144 that divides 4144 without a remainder.

1,2,4,7,8,14,16,28,37,56,74,112,148,259,296,518,592,1036,2072,4144

Factors of 4148

List of positive integer factors of 4148 that divides 4148 without a remainder.

1,2,4,17,34,61,68,122,244,1037,2074,4148

Greatest Common Factor

We found the factors and prime factorization of 4144 and 4148. The biggest common factor number is the GCF number.
So the greatest common factor 4144 and 4148 is 4.

Also check out the Least Common Multiple of 4144 and 4148

Properties of GCF 4144 and 4148

(i) The GCF of 4144 and 4148 is associative

GCF of 4144 and 4148 = GCF of 4148 and 4144

Related Greatest Common Factor of 4144

Related Greatest Common Factor of 4148

Frequently Asked Questions on GCF of 4144 and 4148

1. What is the GCF of 4144 and 4148?

Answer: GCF of 4144 and 4148 is 4.

2. What are the Factors of 4144?

Answer: Factors of 4144 are 1, 2, 4, 7, 8, 14, 16, 28, 37, 56, 74, 112, 148, 259, 296, 518, 592, 1036, 2072, 4144. There are 20 integers that are factors of 4144. The greatest factor of 4144 is 4144.

3. What are the Factors of 4148?

Answer: Factors of 4148 are 1, 2, 4, 17, 34, 61, 68, 122, 244, 1037, 2074, 4148. There are 12 integers that are factors of 4148. The greatest factor of 4148 is 4148.

4. How to Find the GCF of 4144 and 4148?

Answer:

Greatest Common Factor of 4144 and 4148 = 4

Step 1: Find the prime factorization of 4144

4144 = 2 x 2 x 2 x 2 x 7 x 37

Step 2: Find the prime factorization of 4148

4148 = 2 x 2 x 17 x 61

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 4144 and 4148 is 4