What is the Greatest Common Factor of 7508 and 7522?

Greatest common factor (GCF) of 7508 and 7522 is 2.

GCF(7508,7522) = 2

We will now calculate the prime factors of 7508 and 7522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7508 and 7522.

How to find the GCF of 7508 and 7522?

We will first find the prime factorization of 7508 and 7522. After we will calculate the factors of 7508 and 7522 and find the biggest common factor number .

Step-1: Prime Factorization of 7508

Prime factors of 7508 are 2, 1877. Prime factorization of 7508 in exponential form is:

7508 = 2² × 1877¹

Step-2: Prime Factorization of 7522

Prime factors of 7522 are 2, 3761. Prime factorization of 7522 in exponential form is:

7522 = 2¹ × 3761¹

Step-3: Factors of 7508

List of positive integer factors of 7508 that divides 7508 without a remainder.

1, 2, 4, 1877, 3754

Step-4: Factors of 7522

List of positive integer factors of 7522 that divides 7508 without a remainder.

1, 2, 3761

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7508 and 7522. The biggest common factor number is the GCF number.
So the greatest common factor 7508 and 7522 is 2.

Also check out the Least Common Multiple of 7508 and 7522