Greatest Common Factor of 5307 and 5315

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 5307, 5315 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5307 and 5315 is 1.

GCF(5307,5315) = 1

GCF of 5307 and 5315

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

GCF of:
and

Greatest Common Factor of 5307 and 5315

GCF of 5307 and 5315 is 1

Prime Factorization of 5307


3 5307
29 1769
61 61
1

Prime factors of 5307 are 3,29,61. Prime factorization of 5307 in exponential form is:

5307 = 31×291×611

Prime Factorization of 5315


5 5315
1063 1063
1

Prime factors of 5315 are 5,1063. Prime factorization of 5315 in exponential form is:

5315 = 51×10631

∴ So by taking common prime factors GCF of 5307 and 5315 is 1

Greatest Common Factor of 5307 and 5315 by matching factors method

Factors of 5307

List of positive integer factors of 5307 that divides 5307 without a remainder.

1,3,29,61,87,183,1769,5307

Factors of 5315

List of positive integer factors of 5315 that divides 5315 without a remainder.

1,5,1063,5315

Greatest Common Factor

We found the factors and prime factorization of 5307 and 5315. The biggest common factor number is the GCF number.
So the greatest common factor 5307 and 5315 is 1.

Also check out the Least Common Multiple of 5307 and 5315

Properties of GCF 5307 and 5315

(i) The GCF of 5307 and 5315 is associative

GCF of 5307 and 5315 = GCF of 5315 and 5307

Related Greatest Common Factor of 5307

Related Greatest Common Factor of 5315

Frequently Asked Questions on GCF of 5307 and 5315

1. What is the GCF of 5307 and 5315?

Answer: GCF of 5307 and 5315 is 1.

2. What are the Factors of 5307?

Answer: Factors of 5307 are 1, 3, 29, 61, 87, 183, 1769, 5307. There are 8 integers that are factors of 5307. The greatest factor of 5307 is 5307.

3. What are the Factors of 5315?

Answer: Factors of 5315 are 1, 5, 1063, 5315. There are 4 integers that are factors of 5315. The greatest factor of 5315 is 5315.

4. How to Find the GCF of 5307 and 5315?

Answer:

Greatest Common Factor of 5307 and 5315 = 1

Step 1: Find the prime factorization of 5307

5307 = 3 x 29 x 61

Step 2: Find the prime factorization of 5315

5315 = 5 x 1063

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 5307 and 5315 is 1