What is the Greatest Common Factor of 1518 and 1529?

Greatest common factor (GCF) of 1518 and 1529 is 11.

GCF(1518,1529) = 11

We will now calculate the prime factors of 1518 and 1529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 1518 and 1529.

How to find the GCF of 1518 and 1529?

We will first find the prime factorization of 1518 and 1529. After we will calculate the factors of 1518 and 1529 and find the biggest common factor number .

Step-1: Prime Factorization of 1518

Prime factors of 1518 are 2, 3, 11, 23. Prime factorization of 1518 in exponential form is:

1518 = 2¹ × 3¹ × 11¹ × 23¹

Step-2: Prime Factorization of 1529

Prime factors of 1529 are 11, 139. Prime factorization of 1529 in exponential form is:

1529 = 11¹ × 139¹

Step-3: Factors of 1518

List of positive integer factors of 1518 that divides 1518 without a remainder.

1, 2, 3, 6, 11, 22, 23, 33, 46, 66, 69, 138, 253, 506, 759

Step-4: Factors of 1529

List of positive integer factors of 1529 that divides 1518 without a remainder.

1, 11, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 1518 and 1529. The biggest common factor number is the GCF number.
So the greatest common factor 1518 and 1529 is 11.

Also check out the Least Common Multiple of 1518 and 1529