Greatest Common Factor of 315407 and 315413

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 315407, 315413 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 315407 and 315413 is 1.

GCF(315407,315413) = 1

GCF of 315407 and 315413

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

GCF of:
and

Greatest Common Factor of 315407 and 315413

GCF of 315407 and 315413 is 1

Prime Factorization of 315407


315407 315407
1

Prime factors of 315407 are 315407. Prime factorization of 315407 in exponential form is:

315407 = 3154071

Prime Factorization of 315413


7 315413
7 45059
41 6437
157 157
1

Prime factors of 315413 are 7.Prime factorization of 315413 in exponential form is:

315413 = 72×411×1571

∴ So by taking common prime factors GCF of 315407 and 315413 is 1

Greatest Common Factor of 315407 and 315413 by matching factors method

Factors of 315407

List of positive integer factors of 315407 that divides 315407 without a remainder.

1,315407

Factors of 315413

List of positive integer factors of 315413 that divides 315413 without a remainder.

1,7,41,49,157,287,1099,2009,6437,7693,45059,315413

Greatest Common Factor

We found the factors and prime factorization of 315407 and 315413. The biggest common factor number is the GCF number.
So the greatest common factor 315407 and 315413 is 1.

Also check out the Least Common Multiple of 315407 and 315413

Properties of GCF 315407 and 315413

(i) The GCF of 315407 and 315413 is associative

GCF of 315407 and 315413 = GCF of 315413 and 315407

Frequently Asked Questions on GCF of 315407 and 315413

1. What is the GCF of 315407 and 315413?

Answer: GCF of 315407 and 315413 is 1.

2. What are the Factors of 315407?

Answer: Factors of 315407 are 1, 315407. There are 2 integers that are factors of 315407. The greatest factor of 315407 is 315407.

3. What are the Factors of 315413?

Answer: Factors of 315413 are 1, 7, 41, 49, 157, 287, 1099, 2009, 6437, 7693, 45059, 315413. There are 12 integers that are factors of 315413. The greatest factor of 315413 is 315413.

4. How to Find the GCF of 315407 and 315413?

Answer:

Greatest Common Factor of 315407 and 315413 = 1

Step 1: Find the prime factorization of 315407

315407 = 315407

Step 2: Find the prime factorization of 315413

315413 = 7 x 7 x 41 x 157

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 315407 and 315413 is 1