Greatest Common Factor of 2501 and 2509

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 2501, 2509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2501 and 2509 is 1.

GCF(2501,2509) = 1

GCF of 2501 and 2509

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

GCF of:
and

Greatest Common Factor of 2501 and 2509

GCF of 2501 and 2509 is 1

Prime Factorization of 2501


41 2501
61 61
1

Prime factors of 2501 are 41,61. Prime factorization of 2501 in exponential form is:

2501 = 411×611

Prime Factorization of 2509


13 2509
193 193
1

Prime factors of 2509 are 13,193. Prime factorization of 2509 in exponential form is:

2509 = 131×1931

∴ So by taking common prime factors GCF of 2501 and 2509 is 1

Greatest Common Factor of 2501 and 2509 by matching factors method

Factors of 2501

List of positive integer factors of 2501 that divides 2501 without a remainder.

1,41,61,2501

Factors of 2509

List of positive integer factors of 2509 that divides 2509 without a remainder.

1,13,193,2509

Greatest Common Factor

We found the factors and prime factorization of 2501 and 2509. The biggest common factor number is the GCF number.
So the greatest common factor 2501 and 2509 is 1.

Also check out the Least Common Multiple of 2501 and 2509

Properties of GCF 2501 and 2509

(i) The GCF of 2501 and 2509 is associative

GCF of 2501 and 2509 = GCF of 2509 and 2501

Related Greatest Common Factor of 2501

Related Greatest Common Factor of 2509

Frequently Asked Questions on GCF of 2501 and 2509

1. What is the GCF of 2501 and 2509?

Answer: GCF of 2501 and 2509 is 1.

2. What are the Factors of 2501?

Answer: Factors of 2501 are 1, 41, 61, 2501. There are 4 integers that are factors of 2501. The greatest factor of 2501 is 2501.

3. What are the Factors of 2509?

Answer: Factors of 2509 are 1, 13, 193, 2509. There are 4 integers that are factors of 2509. The greatest factor of 2509 is 2509.

4. How to Find the GCF of 2501 and 2509?

Answer:

Greatest Common Factor of 2501 and 2509 = 1

Step 1: Find the prime factorization of 2501

2501 = 41 x 61

Step 2: Find the prime factorization of 2509

2509 = 13 x 193

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 2501 and 2509 is 1