Greatest Common Factor of 3132 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 3132, 3136 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3132 and 3136 is 4.

GCF(3132,3136) = 4

GCF of 3132 and 3136

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

GCF of:
and

Greatest Common Factor of 3132 and 3136

GCF of 3132 and 3136 is 4

Prime Factorization of 3132


2 3132
2 1566
3 783
3 261
3 87
29 29
1

Prime factors of 3132 are 2,3,29. Prime factorization of 3132 in exponential form is:

3132 = 22×33×291

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 3132 and 3136 is 4

Greatest Common Factor of 3132 and 3136 by matching factors method

Factors of 3132

List of positive integer factors of 3132 that divides 3132 without a remainder.

1,2,3,4,6,9,12,18,27,29,36,54,58,87,108,116,174,261,348,522,783,1044,1566,3132

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 3132 and 3136. The biggest common factor number is the GCF number.
So the greatest common factor 3132 and 3136 is 4.

Also check out the Least Common Multiple of 3132 and 3136

Properties of GCF 3132 and 3136

(i) The GCF of 3132 and 3136 is associative

GCF of 3132 and 3136 = GCF of 3136 and 3132

Related Greatest Common Factor of 3132

Related Greatest Common Factor of 3136

Frequently Asked Questions on GCF of 3132 and 3136

1. What is the GCF of 3132 and 3136?

Answer: GCF of 3132 and 3136 is 4.

2. What are the Factors of 3132?

Answer: Factors of 3132 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 29, 36, 54, 58, 87, 108, 116, 174, 261, 348, 522, 783, 1044, 1566, 3132. There are 24 integers that are factors of 3132. The greatest factor of 3132 is 3132.

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 3132 and 3136?

Answer:

Greatest Common Factor of 3132 and 3136 = 4

Step 1: Find the prime factorization of 3132

3132 = 2 x 2 x 3 x 3 x 3 x 29

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 = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 3132 and 3136 is 4