Greatest Common Factor of 1505 and 1512

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 1505, 1512 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1505 and 1512 is 7.

GCF(1505,1512) = 7

GCF of 1505 and 1512

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

GCF of:
and

Greatest Common Factor of 1505 and 1512

GCF of 1505 and 1512 is 7

Prime Factorization of 1505


5 1505
7 301
43 43
1

Prime factors of 1505 are 5,7,43. Prime factorization of 1505 in exponential form is:

1505 = 51×71×431

Prime Factorization of 1512


2 1512
2 756
2 378
3 189
3 63
3 21
7 7
1

Prime factors of 1512 are 2,3,7. Prime factorization of 1512 in exponential form is:

1512 = 23×33×71

∴ So by taking common prime factors GCF of 1505 and 1512 is 7

Greatest Common Factor of 1505 and 1512 by matching factors method

Factors of 1505

List of positive integer factors of 1505 that divides 1505 without a remainder.

1,5,7,35,43,215,301,1505

Factors of 1512

List of positive integer factors of 1512 that divides 1512 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512

Greatest Common Factor

We found the factors and prime factorization of 1505 and 1512. The biggest common factor number is the GCF number.
So the greatest common factor 1505 and 1512 is 7.

Also check out the Least Common Multiple of 1505 and 1512

Properties of GCF 1505 and 1512

(i) The GCF of 1505 and 1512 is associative

GCF of 1505 and 1512 = GCF of 1512 and 1505

Related Greatest Common Factor of 1505

Related Greatest Common Factor of 1512

Frequently Asked Questions on GCF of 1505 and 1512

1. What is the GCF of 1505 and 1512?

Answer: GCF of 1505 and 1512 is 7.

2. What are the Factors of 1505?

Answer: Factors of 1505 are 1, 5, 7, 35, 43, 215, 301, 1505. There are 8 integers that are factors of 1505. The greatest factor of 1505 is 1505.

3. What are the Factors of 1512?

Answer: Factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512. There are 32 integers that are factors of 1512. The greatest factor of 1512 is 1512.

4. How to Find the GCF of 1505 and 1512?

Answer:

Greatest Common Factor of 1505 and 1512 = 7

Step 1: Find the prime factorization of 1505

1505 = 5 x 7 x 43

Step 2: Find the prime factorization of 1512

1512 = 2 x 2 x 2 x 3 x 3 x 3 x 7

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

GCF = 7

Step 4: Therefore, the greatest common factor of 1505 and 1512 is 7