Greatest Common Factor of 3136 and 3137

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, 3137 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3136 and 3137 is 1.

GCF(3136,3137) = 1

GCF of 3136 and 3137

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

GCF of:
and

Greatest Common Factor of 3136 and 3137

GCF of 3136 and 3137 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 3137


3137 3137
1

Prime factors of 3137 are 3137. Prime factorization of 3137 in exponential form is:

3137 = 31371

∴ So by taking common prime factors GCF of 3136 and 3137 is 1

Greatest Common Factor of 3136 and 3137 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 3137

List of positive integer factors of 3137 that divides 3137 without a remainder.

1,3137

Greatest Common Factor

We found the factors and prime factorization of 3136 and 3137. The biggest common factor number is the GCF number.
So the greatest common factor 3136 and 3137 is 1.

Also check out the Least Common Multiple of 3136 and 3137

Properties of GCF 3136 and 3137

(i) The GCF of 3136 and 3137 is associative

GCF of 3136 and 3137 = GCF of 3137 and 3136

Related Greatest Common Factor of 3136

Related Greatest Common Factor of 3137

Frequently Asked Questions on GCF of 3136 and 3137

1. What is the GCF of 3136 and 3137?

Answer: GCF of 3136 and 3137 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 3137?

Answer: Factors of 3137 are 1, 3137. There are 2 integers that are factors of 3137. The greatest factor of 3137 is 3137.

4. How to Find the GCF of 3136 and 3137?

Answer:

Greatest Common Factor of 3136 and 3137 = 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 3137

3137 = 3137

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 3137 is 1