Greatest Common Factor of 413 and 415

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

Greatest common factor (GCF) of 413 and 415 is 1.

GCF(413,415) = 1

GCF of 413 and 415

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

GCF of:
and

Greatest Common Factor of 413 and 415

GCF of 413 and 415 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 415


5 415
83 83
1

Prime factors of 415 are 5,83. Prime factorization of 415 in exponential form is:

415 = 51×831

∴ So by taking common prime factors GCF of 413 and 415 is 1

Greatest Common Factor of 413 and 415 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 415

List of positive integer factors of 415 that divides 415 without a remainder.

1,5,83,415

Greatest Common Factor

We found the factors and prime factorization of 413 and 415. The biggest common factor number is the GCF number.
So the greatest common factor 413 and 415 is 1.

Also check out the Least Common Multiple of 413 and 415

Properties of GCF 413 and 415

(i) The GCF of 413 and 415 is associative

GCF of 413 and 415 = GCF of 415 and 413

Related Greatest Common Factor of 413

Related Greatest Common Factor of 415

Frequently Asked Questions on GCF of 413 and 415

1. What is the GCF of 413 and 415?

Answer: GCF of 413 and 415 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 415?

Answer: Factors of 415 are 1, 5, 83, 415. There are 4 integers that are factors of 415. The greatest factor of 415 is 415.

4. How to Find the GCF of 413 and 415?

Answer:

Greatest Common Factor of 413 and 415 = 1

Step 1: Find the prime factorization of 413

413 = 7 x 59

Step 2: Find the prime factorization of 415

415 = 5 x 83

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 415 is 1