Greatest Common Factor of 7144 and 7152

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, 7152 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7144 and 7152 is 8.

GCF(7144,7152) = 8

GCF of 7144 and 7152

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

GCF of:
and

Greatest Common Factor of 7144 and 7152

GCF of 7144 and 7152 is 8

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 7152


2 7152
2 3576
2 1788
2 894
3 447
149 149
1

Prime factors of 7152 are 2,3,149. Prime factorization of 7152 in exponential form is:

7152 = 24×31×1491

∴ So by taking common prime factors GCF of 7144 and 7152 is 8

Greatest Common Factor of 7144 and 7152 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 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Greatest Common Factor

We found the factors and prime factorization of 7144 and 7152. The biggest common factor number is the GCF number.
So the greatest common factor 7144 and 7152 is 8.

Also check out the Least Common Multiple of 7144 and 7152

Properties of GCF 7144 and 7152

(i) The GCF of 7144 and 7152 is associative

GCF of 7144 and 7152 = GCF of 7152 and 7144

Related Greatest Common Factor of 7144

Related Greatest Common Factor of 7152

Frequently Asked Questions on GCF of 7144 and 7152

1. What is the GCF of 7144 and 7152?

Answer: GCF of 7144 and 7152 is 8.

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 7152?

Answer: Factors of 7152 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 149, 298, 447, 596, 894, 1192, 1788, 2384, 3576, 7152. There are 20 integers that are factors of 7152. The greatest factor of 7152 is 7152.

4. How to Find the GCF of 7144 and 7152?

Answer:

Greatest Common Factor of 7144 and 7152 = 8

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 7152

7152 = 2 x 2 x 2 x 2 x 3 x 149

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 7144 and 7152 is 8