Greatest Common Factor of 52917 and 52925

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 52917, 52925 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 52917 and 52925 is 1.

GCF(52917,52925) = 1

GCF of 52917 and 52925

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

GCF of:
and

Greatest Common Factor of 52917 and 52925

GCF of 52917 and 52925 is 1

Prime Factorization of 52917


3 52917
31 17639
569 569
1

Prime factors of 52917 are 3,31,569. Prime factorization of 52917 in exponential form is:

52917 = 31×311×5691

Prime Factorization of 52925


5 52925
5 10585
29 2117
73 73
1

Prime factors of 52925 are 5,29,73. Prime factorization of 52925 in exponential form is:

52925 = 52×291×731

∴ So by taking common prime factors GCF of 52917 and 52925 is 1

Greatest Common Factor of 52917 and 52925 by matching factors method

Factors of 52917

List of positive integer factors of 52917 that divides 52917 without a remainder.

1,3,31,93,569,1707,17639,52917

Factors of 52925

List of positive integer factors of 52925 that divides 52925 without a remainder.

1,5,25,29,73,145,365,725,1825,2117,10585,52925

Greatest Common Factor

We found the factors and prime factorization of 52917 and 52925. The biggest common factor number is the GCF number.
So the greatest common factor 52917 and 52925 is 1.

Also check out the Least Common Multiple of 52917 and 52925

Properties of GCF 52917 and 52925

(i) The GCF of 52917 and 52925 is associative

GCF of 52917 and 52925 = GCF of 52925 and 52917

Frequently Asked Questions on GCF of 52917 and 52925

1. What is the GCF of 52917 and 52925?

Answer: GCF of 52917 and 52925 is 1.

2. What are the Factors of 52917?

Answer: Factors of 52917 are 1, 3, 31, 93, 569, 1707, 17639, 52917. There are 8 integers that are factors of 52917. The greatest factor of 52917 is 52917.

3. What are the Factors of 52925?

Answer: Factors of 52925 are 1, 5, 25, 29, 73, 145, 365, 725, 1825, 2117, 10585, 52925. There are 12 integers that are factors of 52925. The greatest factor of 52925 is 52925.

4. How to Find the GCF of 52917 and 52925?

Answer:

Greatest Common Factor of 52917 and 52925 = 1

Step 1: Find the prime factorization of 52917

52917 = 3 x 31 x 569

Step 2: Find the prime factorization of 52925

52925 = 5 x 5 x 29 x 73

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 52917 and 52925 is 1