Greatest Common Factor of 1504 and 1509

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, 1509 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1504 and 1509 is 1.

GCF(1504,1509) = 1

GCF of 1504 and 1509

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

GCF of:
and

Greatest Common Factor of 1504 and 1509

GCF of 1504 and 1509 is 1

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 1509


3 1509
503 503
1

Prime factors of 1509 are 3,503. Prime factorization of 1509 in exponential form is:

1509 = 31×5031

∴ So by taking common prime factors GCF of 1504 and 1509 is 1

Greatest Common Factor of 1504 and 1509 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 1509

List of positive integer factors of 1509 that divides 1509 without a remainder.

1,3,503,1509

Greatest Common Factor

We found the factors and prime factorization of 1504 and 1509. The biggest common factor number is the GCF number.
So the greatest common factor 1504 and 1509 is 1.

Also check out the Least Common Multiple of 1504 and 1509

Properties of GCF 1504 and 1509

(i) The GCF of 1504 and 1509 is associative

GCF of 1504 and 1509 = GCF of 1509 and 1504

Related Greatest Common Factor of 1504

Related Greatest Common Factor of 1509

Frequently Asked Questions on GCF of 1504 and 1509

1. What is the GCF of 1504 and 1509?

Answer: GCF of 1504 and 1509 is 1.

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 1509?

Answer: Factors of 1509 are 1, 3, 503, 1509. There are 4 integers that are factors of 1509. The greatest factor of 1509 is 1509.

4. How to Find the GCF of 1504 and 1509?

Answer:

Greatest Common Factor of 1504 and 1509 = 1

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 1509

1509 = 3 x 503

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 1504 and 1509 is 1