Greatest Common Factor of 3484 and 3492

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 3484, 3492 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3484 and 3492 is 4.

GCF(3484,3492) = 4

GCF of 3484 and 3492

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

GCF of:
and

Greatest Common Factor of 3484 and 3492

GCF of 3484 and 3492 is 4

Prime Factorization of 3484


2 3484
2 1742
13 871
67 67
1

Prime factors of 3484 are 2,13,67. Prime factorization of 3484 in exponential form is:

3484 = 22×131×671

Prime Factorization of 3492


2 3492
2 1746
3 873
3 291
97 97
1

Prime factors of 3492 are 2,3,97. Prime factorization of 3492 in exponential form is:

3492 = 22×32×971

∴ So by taking common prime factors GCF of 3484 and 3492 is 4

Greatest Common Factor of 3484 and 3492 by matching factors method

Factors of 3484

List of positive integer factors of 3484 that divides 3484 without a remainder.

1,2,4,13,26,52,67,134,268,871,1742,3484

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Greatest Common Factor

We found the factors and prime factorization of 3484 and 3492. The biggest common factor number is the GCF number.
So the greatest common factor 3484 and 3492 is 4.

Also check out the Least Common Multiple of 3484 and 3492

Properties of GCF 3484 and 3492

(i) The GCF of 3484 and 3492 is associative

GCF of 3484 and 3492 = GCF of 3492 and 3484

Related Greatest Common Factor of 3484

Related Greatest Common Factor of 3492

Frequently Asked Questions on GCF of 3484 and 3492

1. What is the GCF of 3484 and 3492?

Answer: GCF of 3484 and 3492 is 4.

2. What are the Factors of 3484?

Answer: Factors of 3484 are 1, 2, 4, 13, 26, 52, 67, 134, 268, 871, 1742, 3484. There are 12 integers that are factors of 3484. The greatest factor of 3484 is 3484.

3. What are the Factors of 3492?

Answer: Factors of 3492 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 97, 194, 291, 388, 582, 873, 1164, 1746, 3492. There are 18 integers that are factors of 3492. The greatest factor of 3492 is 3492.

4. How to Find the GCF of 3484 and 3492?

Answer:

Greatest Common Factor of 3484 and 3492 = 4

Step 1: Find the prime factorization of 3484

3484 = 2 x 2 x 13 x 67

Step 2: Find the prime factorization of 3492

3492 = 2 x 2 x 3 x 3 x 97

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 3484 and 3492 is 4