Greatest Common Factor of 1504 and 1508

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, 1508 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1504 and 1508 is 4.

GCF(1504,1508) = 4

GCF of 1504 and 1508

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

GCF of:
and

Greatest Common Factor of 1504 and 1508

GCF of 1504 and 1508 is 4

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 1508


2 1508
2 754
13 377
29 29
1

Prime factors of 1508 are 2,13,29. Prime factorization of 1508 in exponential form is:

1508 = 22×131×291

∴ So by taking common prime factors GCF of 1504 and 1508 is 4

Greatest Common Factor of 1504 and 1508 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 1508

List of positive integer factors of 1508 that divides 1508 without a remainder.

1,2,4,13,26,29,52,58,116,377,754,1508

Greatest Common Factor

We found the factors and prime factorization of 1504 and 1508. The biggest common factor number is the GCF number.
So the greatest common factor 1504 and 1508 is 4.

Also check out the Least Common Multiple of 1504 and 1508

Properties of GCF 1504 and 1508

(i) The GCF of 1504 and 1508 is associative

GCF of 1504 and 1508 = GCF of 1508 and 1504

Related Greatest Common Factor of 1504

Related Greatest Common Factor of 1508

Frequently Asked Questions on GCF of 1504 and 1508

1. What is the GCF of 1504 and 1508?

Answer: GCF of 1504 and 1508 is 4.

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 1508?

Answer: Factors of 1508 are 1, 2, 4, 13, 26, 29, 52, 58, 116, 377, 754, 1508. There are 12 integers that are factors of 1508. The greatest factor of 1508 is 1508.

4. How to Find the GCF of 1504 and 1508?

Answer:

Greatest Common Factor of 1504 and 1508 = 4

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 1508

1508 = 2 x 2 x 13 x 29

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 1504 and 1508 is 4