Greatest Common Factor of 7144 and 7145

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, 7145 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7144 and 7145 is 1.

GCF(7144,7145) = 1

GCF of 7144 and 7145

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

GCF of:
and

Greatest Common Factor of 7144 and 7145

GCF of 7144 and 7145 is 1

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 7145


5 7145
1429 1429
1

Prime factors of 7145 are 5,1429. Prime factorization of 7145 in exponential form is:

7145 = 51×14291

∴ So by taking common prime factors GCF of 7144 and 7145 is 1

Greatest Common Factor of 7144 and 7145 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 7145

List of positive integer factors of 7145 that divides 7145 without a remainder.

1,5,1429,7145

Greatest Common Factor

We found the factors and prime factorization of 7144 and 7145. The biggest common factor number is the GCF number.
So the greatest common factor 7144 and 7145 is 1.

Also check out the Least Common Multiple of 7144 and 7145

Properties of GCF 7144 and 7145

(i) The GCF of 7144 and 7145 is associative

GCF of 7144 and 7145 = GCF of 7145 and 7144

Related Greatest Common Factor of 7144

Related Greatest Common Factor of 7145

Frequently Asked Questions on GCF of 7144 and 7145

1. What is the GCF of 7144 and 7145?

Answer: GCF of 7144 and 7145 is 1.

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 7145?

Answer: Factors of 7145 are 1, 5, 1429, 7145. There are 4 integers that are factors of 7145. The greatest factor of 7145 is 7145.

4. How to Find the GCF of 7144 and 7145?

Answer:

Greatest Common Factor of 7144 and 7145 = 1

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 7145

7145 = 5 x 1429

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 7144 and 7145 is 1