What is the Greatest Common Factor of 7509 and 7528?

Greatest common factor (GCF) of 7509 and 7528 is 1.

GCF(7509,7528) = 1

We will now calculate the prime factors of 7509 and 7528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7509 and 7528.

How to find the GCF of 7509 and 7528?

We will first find the prime factorization of 7509 and 7528. After we will calculate the factors of 7509 and 7528 and find the biggest common factor number .

Step-1: Prime Factorization of 7509

Prime factors of 7509 are 3, 2503. Prime factorization of 7509 in exponential form is:

7509 = 3¹ × 2503¹

Step-2: Prime Factorization of 7528

Prime factors of 7528 are 2, 941. Prime factorization of 7528 in exponential form is:

7528 = 2³ × 941¹

Step-3: Factors of 7509

List of positive integer factors of 7509 that divides 7509 without a remainder.

1, 3, 2503

Step-4: Factors of 7528

List of positive integer factors of 7528 that divides 7509 without a remainder.

1, 2, 4, 8, 941, 1882, 3764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7509 and 7528. The biggest common factor number is the GCF number.
So the greatest common factor 7509 and 7528 is 1.

Also check out the Least Common Multiple of 7509 and 7528