Greatest Common Factor of 3136 and 3140

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, 3140 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3136 and 3140 is 4.

GCF(3136,3140) = 4

GCF of 3136 and 3140

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

GCF of:
and

Greatest Common Factor of 3136 and 3140

GCF of 3136 and 3140 is 4

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 3140


2 3140
2 1570
5 785
157 157
1

Prime factors of 3140 are 2,5,157. Prime factorization of 3140 in exponential form is:

3140 = 22×51×1571

∴ So by taking common prime factors GCF of 3136 and 3140 is 4

Greatest Common Factor of 3136 and 3140 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 3140

List of positive integer factors of 3140 that divides 3140 without a remainder.

1,2,4,5,10,20,157,314,628,785,1570,3140

Greatest Common Factor

We found the factors and prime factorization of 3136 and 3140. The biggest common factor number is the GCF number.
So the greatest common factor 3136 and 3140 is 4.

Also check out the Least Common Multiple of 3136 and 3140

Properties of GCF 3136 and 3140

(i) The GCF of 3136 and 3140 is associative

GCF of 3136 and 3140 = GCF of 3140 and 3136

Related Greatest Common Factor of 3136

Related Greatest Common Factor of 3140

Frequently Asked Questions on GCF of 3136 and 3140

1. What is the GCF of 3136 and 3140?

Answer: GCF of 3136 and 3140 is 4.

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 3140?

Answer: Factors of 3140 are 1, 2, 4, 5, 10, 20, 157, 314, 628, 785, 1570, 3140. There are 12 integers that are factors of 3140. The greatest factor of 3140 is 3140.

4. How to Find the GCF of 3136 and 3140?

Answer:

Greatest Common Factor of 3136 and 3140 = 4

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 3140

3140 = 2 x 2 x 5 x 157

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3136 and 3140 is 4