Greatest Common Factor of 3370 and 3377

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 3370, 3377 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3370 and 3377 is 1.

GCF(3370,3377) = 1

GCF of 3370 and 3377

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

GCF of:
and

Greatest Common Factor of 3370 and 3377

GCF of 3370 and 3377 is 1

Prime Factorization of 3370


2 3370
5 1685
337 337
1

Prime factors of 3370 are 2,5,337. Prime factorization of 3370 in exponential form is:

3370 = 21×51×3371

Prime Factorization of 3377


11 3377
307 307
1

Prime factors of 3377 are 11,307. Prime factorization of 3377 in exponential form is:

3377 = 111×3071

∴ So by taking common prime factors GCF of 3370 and 3377 is 1

Greatest Common Factor of 3370 and 3377 by matching factors method

Factors of 3370

List of positive integer factors of 3370 that divides 3370 without a remainder.

1,2,5,10,337,674,1685,3370

Factors of 3377

List of positive integer factors of 3377 that divides 3377 without a remainder.

1,11,307,3377

Greatest Common Factor

We found the factors and prime factorization of 3370 and 3377. The biggest common factor number is the GCF number.
So the greatest common factor 3370 and 3377 is 1.

Also check out the Least Common Multiple of 3370 and 3377

Properties of GCF 3370 and 3377

(i) The GCF of 3370 and 3377 is associative

GCF of 3370 and 3377 = GCF of 3377 and 3370

Frequently Asked Questions on GCF of 3370 and 3377

1. What is the GCF of 3370 and 3377?

Answer: GCF of 3370 and 3377 is 1.

2. What are the Factors of 3370?

Answer: Factors of 3370 are 1, 2, 5, 10, 337, 674, 1685, 3370. There are 8 integers that are factors of 3370. The greatest factor of 3370 is 3370.

3. What are the Factors of 3377?

Answer: Factors of 3377 are 1, 11, 307, 3377. There are 4 integers that are factors of 3377. The greatest factor of 3377 is 3377.

4. How to Find the GCF of 3370 and 3377?

Answer:

Greatest Common Factor of 3370 and 3377 = 1

Step 1: Find the prime factorization of 3370

3370 = 2 x 5 x 337

Step 2: Find the prime factorization of 3377

3377 = 11 x 307

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 3370 and 3377 is 1