What is the Greatest Common Factor of 87522 and 87530?

Greatest common factor (GCF) of 87522 and 87530 is 2.

GCF(87522,87530) = 2

We will now calculate the prime factors of 87522 and 87530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87522 and 87530.

How to find the GCF of 87522 and 87530?

We will first find the prime factorization of 87522 and 87530. After we will calculate the factors of 87522 and 87530 and find the biggest common factor number .

Step-1: Prime Factorization of 87522

Prime factors of 87522 are 2, 3, 29, 503. Prime factorization of 87522 in exponential form is:

87522 = 2¹ × 3¹ × 29¹ × 503¹

Step-2: Prime Factorization of 87530

Prime factors of 87530 are 2, 5, 8753. Prime factorization of 87530 in exponential form is:

87530 = 2¹ × 5¹ × 8753¹

Step-3: Factors of 87522

List of positive integer factors of 87522 that divides 87522 without a remainder.

1, 2, 3, 6, 29, 58, 87, 174, 503, 1006, 1509, 3018, 14587, 29174, 43761

Step-4: Factors of 87530

List of positive integer factors of 87530 that divides 87522 without a remainder.

1, 2, 5, 10, 8753, 17506, 43765

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87522 and 87530. The biggest common factor number is the GCF number.
So the greatest common factor 87522 and 87530 is 2.

Also check out the Least Common Multiple of 87522 and 87530