Greatest Common Factor of 3475 and 3477

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, 3477 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3475 and 3477 is 1.

GCF(3475,3477) = 1

GCF of 3475 and 3477

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

GCF of:
and

Greatest Common Factor of 3475 and 3477

GCF of 3475 and 3477 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 3477


3 3477
19 1159
61 61
1

Prime factors of 3477 are 3,19,61. Prime factorization of 3477 in exponential form is:

3477 = 31×191×611

∴ So by taking common prime factors GCF of 3475 and 3477 is 1

Greatest Common Factor of 3475 and 3477 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 3477

List of positive integer factors of 3477 that divides 3477 without a remainder.

1,3,19,57,61,183,1159,3477

Greatest Common Factor

We found the factors and prime factorization of 3475 and 3477. The biggest common factor number is the GCF number.
So the greatest common factor 3475 and 3477 is 1.

Also check out the Least Common Multiple of 3475 and 3477

Properties of GCF 3475 and 3477

(i) The GCF of 3475 and 3477 is associative

GCF of 3475 and 3477 = GCF of 3477 and 3475

Frequently Asked Questions on GCF of 3475 and 3477

1. What is the GCF of 3475 and 3477?

Answer: GCF of 3475 and 3477 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 3477?

Answer: Factors of 3477 are 1, 3, 19, 57, 61, 183, 1159, 3477. There are 8 integers that are factors of 3477. The greatest factor of 3477 is 3477.

4. How to Find the GCF of 3475 and 3477?

Answer:

Greatest Common Factor of 3475 and 3477 = 1

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3477

3477 = 3 x 19 x 61

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 3477 is 1