Greatest Common Factor of 3136 and 3141

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 3136, 3141 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3136 and 3141 is 1.

GCF(3136,3141) = 1

GCF of 3136 and 3141

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

GCF of:
and

Greatest Common Factor of 3136 and 3141

GCF of 3136 and 3141 is 1

Prime Factorization of 3136


2 3136
2 1568
2 784
2 392
2 196
2 98
7 49
7 7
1

Prime factors of 3136 are 2,7. Prime factorization of 3136 in exponential form is:

3136 = 26×72

Prime Factorization of 3141


3 3141
3 1047
349 349
1

Prime factors of 3141 are 3,349. Prime factorization of 3141 in exponential form is:

3141 = 32×3491

∴ So by taking common prime factors GCF of 3136 and 3141 is 1

Greatest Common Factor of 3136 and 3141 by matching factors method

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Factors of 3141

List of positive integer factors of 3141 that divides 3141 without a remainder.

1,3,9,349,1047,3141

Greatest Common Factor

We found the factors and prime factorization of 3136 and 3141. The biggest common factor number is the GCF number.
So the greatest common factor 3136 and 3141 is 1.

Also check out the Least Common Multiple of 3136 and 3141

Properties of GCF 3136 and 3141

(i) The GCF of 3136 and 3141 is associative

GCF of 3136 and 3141 = GCF of 3141 and 3136

Related Greatest Common Factor of 3136

Related Greatest Common Factor of 3141

Frequently Asked Questions on GCF of 3136 and 3141

1. What is the GCF of 3136 and 3141?

Answer: GCF of 3136 and 3141 is 1.

2. What are the Factors of 3136?

Answer: Factors of 3136 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 49, 56, 64, 98, 112, 196, 224, 392, 448, 784, 1568, 3136. There are 21 integers that are factors of 3136. The greatest factor of 3136 is 3136.

3. What are the Factors of 3141?

Answer: Factors of 3141 are 1, 3, 9, 349, 1047, 3141. There are 6 integers that are factors of 3141. The greatest factor of 3141 is 3141.

4. How to Find the GCF of 3136 and 3141?

Answer:

Greatest Common Factor of 3136 and 3141 = 1

Step 1: Find the prime factorization of 3136

3136 = 2 x 2 x 2 x 2 x 2 x 2 x 7 x 7

Step 2: Find the prime factorization of 3141

3141 = 3 x 3 x 349

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 3136 and 3141 is 1