Greatest Common Factor of 7152 and 7157

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 7152, 7157 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7152 and 7157 is 1.

GCF(7152,7157) = 1

GCF of 7152 and 7157

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

GCF of:
and

Greatest Common Factor of 7152 and 7157

GCF of 7152 and 7157 is 1

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

Prime Factorization of 7157


17 7157
421 421
1

Prime factors of 7157 are 17,421. Prime factorization of 7157 in exponential form is:

7157 = 171×4211

∴ So by taking common prime factors GCF of 7152 and 7157 is 1

Greatest Common Factor of 7152 and 7157 by matching factors method

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

Factors of 7157

List of positive integer factors of 7157 that divides 7157 without a remainder.

1,17,421,7157

Greatest Common Factor

We found the factors and prime factorization of 7152 and 7157. The biggest common factor number is the GCF number.
So the greatest common factor 7152 and 7157 is 1.

Also check out the Least Common Multiple of 7152 and 7157

Properties of GCF 7152 and 7157

(i) The GCF of 7152 and 7157 is associative

GCF of 7152 and 7157 = GCF of 7157 and 7152

Related Greatest Common Factor of 7152

Related Greatest Common Factor of 7157

Frequently Asked Questions on GCF of 7152 and 7157

1. What is the GCF of 7152 and 7157?

Answer: GCF of 7152 and 7157 is 1.

2. 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.

3. What are the Factors of 7157?

Answer: Factors of 7157 are 1, 17, 421, 7157. There are 4 integers that are factors of 7157. The greatest factor of 7157 is 7157.

4. How to Find the GCF of 7152 and 7157?

Answer:

Greatest Common Factor of 7152 and 7157 = 1

Step 1: Find the prime factorization of 7152

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

Step 2: Find the prime factorization of 7157

7157 = 17 x 421

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 7152 and 7157 is 1