Greatest Common Factor of 1510 and 1516

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 1510, 1516 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1510 and 1516 is 2.

GCF(1510,1516) = 2

GCF of 1510 and 1516

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

GCF of:
and

Greatest Common Factor of 1510 and 1516

GCF of 1510 and 1516 is 2

Prime Factorization of 1510


2 1510
5 755
151 151
1

Prime factors of 1510 are 2,5,151. Prime factorization of 1510 in exponential form is:

1510 = 21×51×1511

Prime Factorization of 1516


2 1516
2 758
379 379
1

Prime factors of 1516 are 2,379. Prime factorization of 1516 in exponential form is:

1516 = 22×3791

∴ So by taking common prime factors GCF of 1510 and 1516 is 2

Greatest Common Factor of 1510 and 1516 by matching factors method

Factors of 1510

List of positive integer factors of 1510 that divides 1510 without a remainder.

1,2,5,10,151,302,755,1510

Factors of 1516

List of positive integer factors of 1516 that divides 1516 without a remainder.

1,2,4,379,758,1516

Greatest Common Factor

We found the factors and prime factorization of 1510 and 1516. The biggest common factor number is the GCF number.
So the greatest common factor 1510 and 1516 is 2.

Also check out the Least Common Multiple of 1510 and 1516

Properties of GCF 1510 and 1516

(i) The GCF of 1510 and 1516 is associative

GCF of 1510 and 1516 = GCF of 1516 and 1510

Related Greatest Common Factor of 1510

Related Greatest Common Factor of 1516

Frequently Asked Questions on GCF of 1510 and 1516

1. What is the GCF of 1510 and 1516?

Answer: GCF of 1510 and 1516 is 2.

2. What are the Factors of 1510?

Answer: Factors of 1510 are 1, 2, 5, 10, 151, 302, 755, 1510. There are 8 integers that are factors of 1510. The greatest factor of 1510 is 1510.

3. What are the Factors of 1516?

Answer: Factors of 1516 are 1, 2, 4, 379, 758, 1516. There are 6 integers that are factors of 1516. The greatest factor of 1516 is 1516.

4. How to Find the GCF of 1510 and 1516?

Answer:

Greatest Common Factor of 1510 and 1516 = 2

Step 1: Find the prime factorization of 1510

1510 = 2 x 5 x 151

Step 2: Find the prime factorization of 1516

1516 = 2 x 2 x 379

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 1510 and 1516 is 2