Greatest Common Factor of 7144 and 7150

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 7144, 7150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7144 and 7150 is 2.

GCF(7144,7150) = 2

GCF of 7144 and 7150

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

GCF of:
and

Greatest Common Factor of 7144 and 7150

GCF of 7144 and 7150 is 2

Prime Factorization of 7144


2 7144
2 3572
2 1786
19 893
47 47
1

Prime factors of 7144 are 2,19,47. Prime factorization of 7144 in exponential form is:

7144 = 23×191×471

Prime Factorization of 7150


2 7150
5 3575
5 715
11 143
13 13
1

Prime factors of 7150 are 2,5,11,13. Prime factorization of 7150 in exponential form is:

7150 = 21×52×111×131

∴ So by taking common prime factors GCF of 7144 and 7150 is 2

Greatest Common Factor of 7144 and 7150 by matching factors method

Factors of 7144

List of positive integer factors of 7144 that divides 7144 without a remainder.

1,2,4,8,19,38,47,76,94,152,188,376,893,1786,3572,7144

Factors of 7150

List of positive integer factors of 7150 that divides 7150 without a remainder.

1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150

Greatest Common Factor

We found the factors and prime factorization of 7144 and 7150. The biggest common factor number is the GCF number.
So the greatest common factor 7144 and 7150 is 2.

Also check out the Least Common Multiple of 7144 and 7150

Properties of GCF 7144 and 7150

(i) The GCF of 7144 and 7150 is associative

GCF of 7144 and 7150 = GCF of 7150 and 7144

Related Greatest Common Factor of 7144

Related Greatest Common Factor of 7150

Frequently Asked Questions on GCF of 7144 and 7150

1. What is the GCF of 7144 and 7150?

Answer: GCF of 7144 and 7150 is 2.

2. What are the Factors of 7144?

Answer: Factors of 7144 are 1, 2, 4, 8, 19, 38, 47, 76, 94, 152, 188, 376, 893, 1786, 3572, 7144. There are 16 integers that are factors of 7144. The greatest factor of 7144 is 7144.

3. What are the Factors of 7150?

Answer: Factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150. There are 24 integers that are factors of 7150. The greatest factor of 7150 is 7150.

4. How to Find the GCF of 7144 and 7150?

Answer:

Greatest Common Factor of 7144 and 7150 = 2

Step 1: Find the prime factorization of 7144

7144 = 2 x 2 x 2 x 19 x 47

Step 2: Find the prime factorization of 7150

7150 = 2 x 5 x 5 x 11 x 13

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

GCF = 2

Step 4: Therefore, the greatest common factor of 7144 and 7150 is 2