What is the Greatest Common Factor of 1512 and 1530?

Greatest common factor (GCF) of 1512 and 1530 is 18.

GCF(1512,1530) = 18

We will now calculate the prime factors of 1512 and 1530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1512 and 1530.

How to find the GCF of 1512 and 1530?

We will first find the prime factorization of 1512 and 1530. After we will calculate the factors of 1512 and 1530 and find the biggest common factor number .

Step-1: Prime Factorization of 1512

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

1512 = 2³ × 3³ × 7¹

Step-2: Prime Factorization of 1530

Prime factors of 1530 are 2, 3, 5, 17. Prime factorization of 1530 in exponential form is:

1530 = 2¹ × 3² × 5¹ × 17¹

Step-3: 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

Step-4: Factors of 1530

List of positive integer factors of 1530 that divides 1512 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1512 and 1530. The biggest common factor number is the GCF number.
So the greatest common factor 1512 and 1530 is 18.

Also check out the Least Common Multiple of 1512 and 1530