Greatest Common Factor of 3475 and 3479

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, 3479 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3475 and 3479 is 1.

GCF(3475,3479) = 1

GCF of 3475 and 3479

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

GCF of:
and

Greatest Common Factor of 3475 and 3479

GCF of 3475 and 3479 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 3479


7 3479
7 497
71 71
1

Prime factors of 3479 are 7,71. Prime factorization of 3479 in exponential form is:

3479 = 72×711

∴ So by taking common prime factors GCF of 3475 and 3479 is 1

Greatest Common Factor of 3475 and 3479 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 3479

List of positive integer factors of 3479 that divides 3479 without a remainder.

1,7,49,71,497,3479

Greatest Common Factor

We found the factors and prime factorization of 3475 and 3479. The biggest common factor number is the GCF number.
So the greatest common factor 3475 and 3479 is 1.

Also check out the Least Common Multiple of 3475 and 3479

Properties of GCF 3475 and 3479

(i) The GCF of 3475 and 3479 is associative

GCF of 3475 and 3479 = GCF of 3479 and 3475

Related Greatest Common Factor of 3475

Related Greatest Common Factor of 3479

Frequently Asked Questions on GCF of 3475 and 3479

1. What is the GCF of 3475 and 3479?

Answer: GCF of 3475 and 3479 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 3479?

Answer: Factors of 3479 are 1, 7, 49, 71, 497, 3479. There are 6 integers that are factors of 3479. The greatest factor of 3479 is 3479.

4. How to Find the GCF of 3475 and 3479?

Answer:

Greatest Common Factor of 3475 and 3479 = 1

Step 1: Find the prime factorization of 3475

3475 = 5 x 5 x 139

Step 2: Find the prime factorization of 3479

3479 = 7 x 7 x 71

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 3479 is 1