Greatest Common Factor of 3348 and 3350

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 3348, 3350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3348 and 3350 is 2.

GCF(3348,3350) = 2

GCF of 3348 and 3350

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

GCF of:
and

Greatest Common Factor of 3348 and 3350

GCF of 3348 and 3350 is 2

Prime Factorization of 3348


2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 3348 are 2,3,31. Prime factorization of 3348 in exponential form is:

3348 = 22×33×311

Prime Factorization of 3350


2 3350
5 1675
5 335
67 67
1

Prime factors of 3350 are 2,5,67. Prime factorization of 3350 in exponential form is:

3350 = 21×52×671

∴ So by taking common prime factors GCF of 3348 and 3350 is 2

Greatest Common Factor of 3348 and 3350 by matching factors method

Factors of 3348

List of positive integer factors of 3348 that divides 3348 without a remainder.

1,2,3,4,6,9,12,18,27,31,36,54,62,93,108,124,186,279,372,558,837,1116,1674,3348

Factors of 3350

List of positive integer factors of 3350 that divides 3350 without a remainder.

1,2,5,10,25,50,67,134,335,670,1675,3350

Greatest Common Factor

We found the factors and prime factorization of 3348 and 3350. The biggest common factor number is the GCF number.
So the greatest common factor 3348 and 3350 is 2.

Also check out the Least Common Multiple of 3348 and 3350

Properties of GCF 3348 and 3350

(i) The GCF of 3348 and 3350 is associative

GCF of 3348 and 3350 = GCF of 3350 and 3348

Related Greatest Common Factor of 3348

Related Greatest Common Factor of 3350

Frequently Asked Questions on GCF of 3348 and 3350

1. What is the GCF of 3348 and 3350?

Answer: GCF of 3348 and 3350 is 2.

2. What are the Factors of 3348?

Answer: Factors of 3348 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 31, 36, 54, 62, 93, 108, 124, 186, 279, 372, 558, 837, 1116, 1674, 3348. There are 24 integers that are factors of 3348. The greatest factor of 3348 is 3348.

3. What are the Factors of 3350?

Answer: Factors of 3350 are 1, 2, 5, 10, 25, 50, 67, 134, 335, 670, 1675, 3350. There are 12 integers that are factors of 3350. The greatest factor of 3350 is 3350.

4. How to Find the GCF of 3348 and 3350?

Answer:

Greatest Common Factor of 3348 and 3350 = 2

Step 1: Find the prime factorization of 3348

3348 = 2 x 2 x 3 x 3 x 3 x 31

Step 2: Find the prime factorization of 3350

3350 = 2 x 5 x 5 x 67

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 3348 and 3350 is 2