Greatest Common Factor of 1504 and 1510

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 1504, 1510 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1504 and 1510 is 2.

GCF(1504,1510) = 2

GCF of 1504 and 1510

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

GCF of:
and

Greatest Common Factor of 1504 and 1510

GCF of 1504 and 1510 is 2

Prime Factorization of 1504


2 1504
2 752
2 376
2 188
2 94
47 47
1

Prime factors of 1504 are 2,47. Prime factorization of 1504 in exponential form is:

1504 = 25×471

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

∴ So by taking common prime factors GCF of 1504 and 1510 is 2

Greatest Common Factor of 1504 and 1510 by matching factors method

Factors of 1504

List of positive integer factors of 1504 that divides 1504 without a remainder.

1,2,4,8,16,32,47,94,188,376,752,1504

Factors of 1510

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

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

Greatest Common Factor

We found the factors and prime factorization of 1504 and 1510. The biggest common factor number is the GCF number.
So the greatest common factor 1504 and 1510 is 2.

Also check out the Least Common Multiple of 1504 and 1510

Properties of GCF 1504 and 1510

(i) The GCF of 1504 and 1510 is associative

GCF of 1504 and 1510 = GCF of 1510 and 1504

Related Greatest Common Factor of 1504

Related Greatest Common Factor of 1510

Frequently Asked Questions on GCF of 1504 and 1510

1. What is the GCF of 1504 and 1510?

Answer: GCF of 1504 and 1510 is 2.

2. What are the Factors of 1504?

Answer: Factors of 1504 are 1, 2, 4, 8, 16, 32, 47, 94, 188, 376, 752, 1504. There are 12 integers that are factors of 1504. The greatest factor of 1504 is 1504.

3. 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.

4. How to Find the GCF of 1504 and 1510?

Answer:

Greatest Common Factor of 1504 and 1510 = 2

Step 1: Find the prime factorization of 1504

1504 = 2 x 2 x 2 x 2 x 2 x 47

Step 2: Find the prime factorization of 1510

1510 = 2 x 5 x 151

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 1504 and 1510 is 2