Greatest Common Factor of 7146 and 7151

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 7146, 7151 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7146 and 7151 is 1.

GCF(7146,7151) = 1

GCF of 7146 and 7151

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

GCF of:
and

Greatest Common Factor of 7146 and 7151

GCF of 7146 and 7151 is 1

Prime Factorization of 7146


2 7146
3 3573
3 1191
397 397
1

Prime factors of 7146 are 2,3,397. Prime factorization of 7146 in exponential form is:

7146 = 21×32×3971

Prime Factorization of 7151


7151 7151
1

Prime factors of 7151 are 7151. Prime factorization of 7151 in exponential form is:

7151 = 71511

∴ So by taking common prime factors GCF of 7146 and 7151 is 1

Greatest Common Factor of 7146 and 7151 by matching factors method

Factors of 7146

List of positive integer factors of 7146 that divides 7146 without a remainder.

1,2,3,6,9,18,397,794,1191,2382,3573,7146

Factors of 7151

List of positive integer factors of 7151 that divides 7151 without a remainder.

1,7151

Greatest Common Factor

We found the factors and prime factorization of 7146 and 7151. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7151 is 1.

Also check out the Least Common Multiple of 7146 and 7151

Properties of GCF 7146 and 7151

(i) The GCF of 7146 and 7151 is associative

GCF of 7146 and 7151 = GCF of 7151 and 7146

Related Greatest Common Factor of 7146

Related Greatest Common Factor of 7151

Frequently Asked Questions on GCF of 7146 and 7151

1. What is the GCF of 7146 and 7151?

Answer: GCF of 7146 and 7151 is 1.

2. What are the Factors of 7146?

Answer: Factors of 7146 are 1, 2, 3, 6, 9, 18, 397, 794, 1191, 2382, 3573, 7146. There are 12 integers that are factors of 7146. The greatest factor of 7146 is 7146.

3. What are the Factors of 7151?

Answer: Factors of 7151 are 1, 7151. There are 2 integers that are factors of 7151. The greatest factor of 7151 is 7151.

4. How to Find the GCF of 7146 and 7151?

Answer:

Greatest Common Factor of 7146 and 7151 = 1

Step 1: Find the prime factorization of 7146

7146 = 2 x 3 x 3 x 397

Step 2: Find the prime factorization of 7151

7151 = 7151

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 7146 and 7151 is 1