Greatest Common Factor of 2507 and 2514

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 2507, 2514 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2507 and 2514 is 1.

GCF(2507,2514) = 1

GCF of 2507 and 2514

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

GCF of:
and

Greatest Common Factor of 2507 and 2514

GCF of 2507 and 2514 is 1

Prime Factorization of 2507


23 2507
109 109
1

Prime factors of 2507 are 23,109. Prime factorization of 2507 in exponential form is:

2507 = 231×1091

Prime Factorization of 2514


2 2514
3 1257
419 419
1

Prime factors of 2514 are 2,3,419. Prime factorization of 2514 in exponential form is:

2514 = 21×31×4191

∴ So by taking common prime factors GCF of 2507 and 2514 is 1

Greatest Common Factor of 2507 and 2514 by matching factors method

Factors of 2507

List of positive integer factors of 2507 that divides 2507 without a remainder.

1,23,109,2507

Factors of 2514

List of positive integer factors of 2514 that divides 2514 without a remainder.

1,2,3,6,419,838,1257,2514

Greatest Common Factor

We found the factors and prime factorization of 2507 and 2514. The biggest common factor number is the GCF number.
So the greatest common factor 2507 and 2514 is 1.

Also check out the Least Common Multiple of 2507 and 2514

Properties of GCF 2507 and 2514

(i) The GCF of 2507 and 2514 is associative

GCF of 2507 and 2514 = GCF of 2514 and 2507

Related Greatest Common Factor of 2507

Related Greatest Common Factor of 2514

Frequently Asked Questions on GCF of 2507 and 2514

1. What is the GCF of 2507 and 2514?

Answer: GCF of 2507 and 2514 is 1.

2. What are the Factors of 2507?

Answer: Factors of 2507 are 1, 23, 109, 2507. There are 4 integers that are factors of 2507. The greatest factor of 2507 is 2507.

3. What are the Factors of 2514?

Answer: Factors of 2514 are 1, 2, 3, 6, 419, 838, 1257, 2514. There are 8 integers that are factors of 2514. The greatest factor of 2514 is 2514.

4. How to Find the GCF of 2507 and 2514?

Answer:

Greatest Common Factor of 2507 and 2514 = 1

Step 1: Find the prime factorization of 2507

2507 = 23 x 109

Step 2: Find the prime factorization of 2514

2514 = 2 x 3 x 419

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 2507 and 2514 is 1