Greatest Common Factor of 3129 and 3136

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 3129, 3136 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3129 and 3136 is 7.

GCF(3129,3136) = 7

GCF of 3129 and 3136

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

GCF of:
and

Greatest Common Factor of 3129 and 3136

GCF of 3129 and 3136 is 7

Prime Factorization of 3129


3 3129
7 1043
149 149
1

Prime factors of 3129 are 3,7,149. Prime factorization of 3129 in exponential form is:

3129 = 31×71×1491

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

∴ So by taking common prime factors GCF of 3129 and 3136 is 7

Greatest Common Factor of 3129 and 3136 by matching factors method

Factors of 3129

List of positive integer factors of 3129 that divides 3129 without a remainder.

1,3,7,21,149,447,1043,3129

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

Greatest Common Factor

We found the factors and prime factorization of 3129 and 3136. The biggest common factor number is the GCF number.
So the greatest common factor 3129 and 3136 is 7.

Also check out the Least Common Multiple of 3129 and 3136

Properties of GCF 3129 and 3136

(i) The GCF of 3129 and 3136 is associative

GCF of 3129 and 3136 = GCF of 3136 and 3129

Related Greatest Common Factor of 3129

Related Greatest Common Factor of 3136

Frequently Asked Questions on GCF of 3129 and 3136

1. What is the GCF of 3129 and 3136?

Answer: GCF of 3129 and 3136 is 7.

2. What are the Factors of 3129?

Answer: Factors of 3129 are 1, 3, 7, 21, 149, 447, 1043, 3129. There are 8 integers that are factors of 3129. The greatest factor of 3129 is 3129.

3. 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.

4. How to Find the GCF of 3129 and 3136?

Answer:

Greatest Common Factor of 3129 and 3136 = 7

Step 1: Find the prime factorization of 3129

3129 = 3 x 7 x 149

Step 2: Find the prime factorization of 3136

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

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 3129 and 3136 is 7