Greatest Common Factor of 7136 and 7141

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 7136, 7141 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7136 and 7141 is 1.

GCF(7136,7141) = 1

GCF of 7136 and 7141

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

GCF of:
and

Greatest Common Factor of 7136 and 7141

GCF of 7136 and 7141 is 1

Prime Factorization of 7136


2 7136
2 3568
2 1784
2 892
2 446
223 223
1

Prime factors of 7136 are 2,223. Prime factorization of 7136 in exponential form is:

7136 = 25×2231

Prime Factorization of 7141


37 7141
193 193
1

Prime factors of 7141 are 37,193. Prime factorization of 7141 in exponential form is:

7141 = 371×1931

∴ So by taking common prime factors GCF of 7136 and 7141 is 1

Greatest Common Factor of 7136 and 7141 by matching factors method

Factors of 7136

List of positive integer factors of 7136 that divides 7136 without a remainder.

1,2,4,8,16,32,223,446,892,1784,3568,7136

Factors of 7141

List of positive integer factors of 7141 that divides 7141 without a remainder.

1,37,193,7141

Greatest Common Factor

We found the factors and prime factorization of 7136 and 7141. The biggest common factor number is the GCF number.
So the greatest common factor 7136 and 7141 is 1.

Also check out the Least Common Multiple of 7136 and 7141

Properties of GCF 7136 and 7141

(i) The GCF of 7136 and 7141 is associative

GCF of 7136 and 7141 = GCF of 7141 and 7136

Related Greatest Common Factor of 7136

Related Greatest Common Factor of 7141

Frequently Asked Questions on GCF of 7136 and 7141

1. What is the GCF of 7136 and 7141?

Answer: GCF of 7136 and 7141 is 1.

2. What are the Factors of 7136?

Answer: Factors of 7136 are 1, 2, 4, 8, 16, 32, 223, 446, 892, 1784, 3568, 7136. There are 12 integers that are factors of 7136. The greatest factor of 7136 is 7136.

3. What are the Factors of 7141?

Answer: Factors of 7141 are 1, 37, 193, 7141. There are 4 integers that are factors of 7141. The greatest factor of 7141 is 7141.

4. How to Find the GCF of 7136 and 7141?

Answer:

Greatest Common Factor of 7136 and 7141 = 1

Step 1: Find the prime factorization of 7136

7136 = 2 x 2 x 2 x 2 x 2 x 223

Step 2: Find the prime factorization of 7141

7141 = 37 x 193

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 7136 and 7141 is 1