Greatest Common Factor of 413 and 417

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 413, 417 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 413 and 417 is 1.

GCF(413,417) = 1

GCF of 413 and 417

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

GCF of:
and

Greatest Common Factor of 413 and 417

GCF of 413 and 417 is 1

Prime Factorization of 413


7 413
59 59
1

Prime factors of 413 are 7,59. Prime factorization of 413 in exponential form is:

413 = 71×591

Prime Factorization of 417


3 417
139 139
1

Prime factors of 417 are 3,139. Prime factorization of 417 in exponential form is:

417 = 31×1391

∴ So by taking common prime factors GCF of 413 and 417 is 1

Greatest Common Factor of 413 and 417 by matching factors method

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors and prime factorization of 413 and 417. The biggest common factor number is the GCF number.
So the greatest common factor 413 and 417 is 1.

Also check out the Least Common Multiple of 413 and 417

Properties of GCF 413 and 417

(i) The GCF of 413 and 417 is associative

GCF of 413 and 417 = GCF of 417 and 413

Related Greatest Common Factor of 413

Related Greatest Common Factor of 417

Frequently Asked Questions on GCF of 413 and 417

1. What is the GCF of 413 and 417?

Answer: GCF of 413 and 417 is 1.

2. What are the Factors of 413?

Answer: Factors of 413 are 1, 7, 59, 413. There are 4 integers that are factors of 413. The greatest factor of 413 is 413.

3. What are the Factors of 417?

Answer: Factors of 417 are 1, 3, 139, 417. There are 4 integers that are factors of 417. The greatest factor of 417 is 417.

4. How to Find the GCF of 413 and 417?

Answer:

Greatest Common Factor of 413 and 417 = 1

Step 1: Find the prime factorization of 413

413 = 7 x 59

Step 2: Find the prime factorization of 417

417 = 3 x 139

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 413 and 417 is 1