Greatest Common Factor of 3136 and 3138

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, 3138 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3136 and 3138 is 2.

GCF(3136,3138) = 2

GCF of 3136 and 3138

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

GCF of:
and

Greatest Common Factor of 3136 and 3138

GCF of 3136 and 3138 is 2

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 3138


2 3138
3 1569
523 523
1

Prime factors of 3138 are 2,3,523. Prime factorization of 3138 in exponential form is:

3138 = 21×31×5231

∴ So by taking common prime factors GCF of 3136 and 3138 is 2

Greatest Common Factor of 3136 and 3138 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 3138

List of positive integer factors of 3138 that divides 3138 without a remainder.

1,2,3,6,523,1046,1569,3138

Greatest Common Factor

We found the factors and prime factorization of 3136 and 3138. The biggest common factor number is the GCF number.
So the greatest common factor 3136 and 3138 is 2.

Also check out the Least Common Multiple of 3136 and 3138

Properties of GCF 3136 and 3138

(i) The GCF of 3136 and 3138 is associative

GCF of 3136 and 3138 = GCF of 3138 and 3136

Related Greatest Common Factor of 3136

Related Greatest Common Factor of 3138

Frequently Asked Questions on GCF of 3136 and 3138

1. What is the GCF of 3136 and 3138?

Answer: GCF of 3136 and 3138 is 2.

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 3138?

Answer: Factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138. There are 8 integers that are factors of 3138. The greatest factor of 3138 is 3138.

4. How to Find the GCF of 3136 and 3138?

Answer:

Greatest Common Factor of 3136 and 3138 = 2

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 3138

3138 = 2 x 3 x 523

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

GCF = 2

Step 4: Therefore, the greatest common factor of 3136 and 3138 is 2