Greatest Common Factor of 3100 and 3102

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 3100, 3102 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3100 and 3102 is 2.

GCF(3100,3102) = 2

GCF of 3100 and 3102

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

GCF of:
and

Greatest Common Factor of 3100 and 3102

GCF of 3100 and 3102 is 2

Prime Factorization of 3100


2 3100
2 1550
5 775
5 155
31 31
1

Prime factors of 3100 are 2,5,31. Prime factorization of 3100 in exponential form is:

3100 = 22×52×311

Prime Factorization of 3102


2 3102
3 1551
11 517
47 47
1

Prime factors of 3102 are 2,3,11,47. Prime factorization of 3102 in exponential form is:

3102 = 21×31×111×471

∴ So by taking common prime factors GCF of 3100 and 3102 is 2

Greatest Common Factor of 3100 and 3102 by matching factors method

Factors of 3100

List of positive integer factors of 3100 that divides 3100 without a remainder.

1,2,4,5,10,20,25,31,50,62,100,124,155,310,620,775,1550,3100

Factors of 3102

List of positive integer factors of 3102 that divides 3102 without a remainder.

1,2,3,6,11,22,33,47,66,94,141,282,517,1034,1551,3102

Greatest Common Factor

We found the factors and prime factorization of 3100 and 3102. The biggest common factor number is the GCF number.
So the greatest common factor 3100 and 3102 is 2.

Also check out the Least Common Multiple of 3100 and 3102

Properties of GCF 3100 and 3102

(i) The GCF of 3100 and 3102 is associative

GCF of 3100 and 3102 = GCF of 3102 and 3100

Related Greatest Common Factor of 3100

Related Greatest Common Factor of 3102

Frequently Asked Questions on GCF of 3100 and 3102

1. What is the GCF of 3100 and 3102?

Answer: GCF of 3100 and 3102 is 2.

2. What are the Factors of 3100?

Answer: Factors of 3100 are 1, 2, 4, 5, 10, 20, 25, 31, 50, 62, 100, 124, 155, 310, 620, 775, 1550, 3100. There are 18 integers that are factors of 3100. The greatest factor of 3100 is 3100.

3. What are the Factors of 3102?

Answer: Factors of 3102 are 1, 2, 3, 6, 11, 22, 33, 47, 66, 94, 141, 282, 517, 1034, 1551, 3102. There are 16 integers that are factors of 3102. The greatest factor of 3102 is 3102.

4. How to Find the GCF of 3100 and 3102?

Answer:

Greatest Common Factor of 3100 and 3102 = 2

Step 1: Find the prime factorization of 3100

3100 = 2 x 2 x 5 x 5 x 31

Step 2: Find the prime factorization of 3102

3102 = 2 x 3 x 11 x 47

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 3100 and 3102 is 2