What is the Greatest Common Factor of 7518 and 7529?

Greatest common factor (GCF) of 7518 and 7529 is 1.

GCF(7518,7529) = 1

We will now calculate the prime factors of 7518 and 7529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7518 and 7529.

How to find the GCF of 7518 and 7529?

We will first find the prime factorization of 7518 and 7529. After we will calculate the factors of 7518 and 7529 and find the biggest common factor number .

Step-1: Prime Factorization of 7518

Prime factors of 7518 are 2, 3, 7, 179. Prime factorization of 7518 in exponential form is:

7518 = 2¹ × 3¹ × 7¹ × 179¹

Step-2: Prime Factorization of 7529

Prime factors of 7529 are 7529. Prime factorization of 7529 in exponential form is:

7529 = 7529¹

Step-3: Factors of 7518

List of positive integer factors of 7518 that divides 7518 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759

Step-4: Factors of 7529

List of positive integer factors of 7529 that divides 7518 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7518 and 7529. The biggest common factor number is the GCF number.
So the greatest common factor 7518 and 7529 is 1.

Also check out the Least Common Multiple of 7518 and 7529