Greatest Common Factor of 3302 and 3308

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 3302, 3308 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3302 and 3308 is 2.

GCF(3302,3308) = 2

GCF of 3302 and 3308

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

GCF of:
and

Greatest Common Factor of 3302 and 3308

GCF of 3302 and 3308 is 2

Prime Factorization of 3302


2 3302
13 1651
127 127
1

Prime factors of 3302 are 2,13,127. Prime factorization of 3302 in exponential form is:

3302 = 21×131×1271

Prime Factorization of 3308


2 3308
2 1654
827 827
1

Prime factors of 3308 are 2,827. Prime factorization of 3308 in exponential form is:

3308 = 22×8271

∴ So by taking common prime factors GCF of 3302 and 3308 is 2

Greatest Common Factor of 3302 and 3308 by matching factors method

Factors of 3302

List of positive integer factors of 3302 that divides 3302 without a remainder.

1,2,13,26,127,254,1651,3302

Factors of 3308

List of positive integer factors of 3308 that divides 3308 without a remainder.

1,2,4,827,1654,3308

Greatest Common Factor

We found the factors and prime factorization of 3302 and 3308. The biggest common factor number is the GCF number.
So the greatest common factor 3302 and 3308 is 2.

Also check out the Least Common Multiple of 3302 and 3308

Properties of GCF 3302 and 3308

(i) The GCF of 3302 and 3308 is associative

GCF of 3302 and 3308 = GCF of 3308 and 3302

Related Greatest Common Factor of 3302

Related Greatest Common Factor of 3308

Frequently Asked Questions on GCF of 3302 and 3308

1. What is the GCF of 3302 and 3308?

Answer: GCF of 3302 and 3308 is 2.

2. What are the Factors of 3302?

Answer: Factors of 3302 are 1, 2, 13, 26, 127, 254, 1651, 3302. There are 8 integers that are factors of 3302. The greatest factor of 3302 is 3302.

3. What are the Factors of 3308?

Answer: Factors of 3308 are 1, 2, 4, 827, 1654, 3308. There are 6 integers that are factors of 3308. The greatest factor of 3308 is 3308.

4. How to Find the GCF of 3302 and 3308?

Answer:

Greatest Common Factor of 3302 and 3308 = 2

Step 1: Find the prime factorization of 3302

3302 = 2 x 13 x 127

Step 2: Find the prime factorization of 3308

3308 = 2 x 2 x 827

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 3302 and 3308 is 2