Greatest Common Factor of 7146 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 7146, 7152 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7146 and 7152 is 6.

GCF(7146,7152) = 6

GCF of 7146 and 7152

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

GCF of:
and

Greatest Common Factor of 7146 and 7152

GCF of 7146 and 7152 is 6

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 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 7146 and 7152 is 6

Greatest Common Factor of 7146 and 7152 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 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 7146 and 7152. The biggest common factor number is the GCF number.
So the greatest common factor 7146 and 7152 is 6.

Also check out the Least Common Multiple of 7146 and 7152

Properties of GCF 7146 and 7152

(i) The GCF of 7146 and 7152 is associative

GCF of 7146 and 7152 = GCF of 7152 and 7146

Related Greatest Common Factor of 7146

Related Greatest Common Factor of 7152

Frequently Asked Questions on GCF of 7146 and 7152

1. What is the GCF of 7146 and 7152?

Answer: GCF of 7146 and 7152 is 6.

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 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 7146 and 7152?

Answer:

Greatest Common Factor of 7146 and 7152 = 6

Step 1: Find the prime factorization of 7146

7146 = 2 x 3 x 3 x 397

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 3 = 6

Step 4: Therefore, the greatest common factor of 7146 and 7152 is 6