Greatest Common Factor of 3475 and 3476

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 3475, 3476 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3475 and 3476 is 1.

GCF(3475,3476) = 1

GCF of 3475 and 3476

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

GCF of:
and

Greatest Common Factor of 3475 and 3476

GCF of 3475 and 3476 is 1

Prime Factorization of 3475


5 3475
5 695
139 139
1

Prime factors of 3475 are 5,139. Prime factorization of 3475 in exponential form is:

3475 = 52×1391

Prime Factorization of 3476


2 3476
2 1738
11 869
79 79
1

Prime factors of 3476 are 2,11,79. Prime factorization of 3476 in exponential form is:

3476 = 22×111×791

∴ So by taking common prime factors GCF of 3475 and 3476 is 1

Greatest Common Factor of 3475 and 3476 by matching factors method

Factors of 3475

List of positive integer factors of 3475 that divides 3475 without a remainder.

1,5,25,139,695,3475

Factors of 3476

List of positive integer factors of 3476 that divides 3476 without a remainder.

1,2,4,11,22,44,79,158,316,869,1738,3476

Greatest Common Factor

We found the factors and prime factorization of 3475 and 3476. The biggest common factor number is the GCF number.
So the greatest common factor 3475 and 3476 is 1.

Also check out the Least Common Multiple of 3475 and 3476

Properties of GCF 3475 and 3476

(i) The GCF of 3475 and 3476 is associative

GCF of 3475 and 3476 = GCF of 3476 and 3475

Related Greatest Common Factor of 3475

Related Greatest Common Factor of 3476

Frequently Asked Questions on GCF of 3475 and 3476

1. What is the GCF of 3475 and 3476?

Answer: GCF of 3475 and 3476 is 1.

2. What are the Factors of 3475?

Answer: Factors of 3475 are 1, 5, 25, 139, 695, 3475. There are 6 integers that are factors of 3475. The greatest factor of 3475 is 3475.

3. What are the Factors of 3476?

Answer: Factors of 3476 are 1, 2, 4, 11, 22, 44, 79, 158, 316, 869, 1738, 3476. There are 12 integers that are factors of 3476. The greatest factor of 3476 is 3476.

4. How to Find the GCF of 3475 and 3476?

Answer:

Greatest Common Factor of 3475 and 3476 = 1

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3476

3476 = 2 x 2 x 11 x 79

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 3475 and 3476 is 1