What is the Greatest Common Factor of 87522 and 87529?

Greatest common factor (GCF) of 87522 and 87529 is 1.

GCF(87522,87529) = 1

We will now calculate the prime factors of 87522 and 87529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 87522 and 87529.

How to find the GCF of 87522 and 87529?

We will first find the prime factorization of 87522 and 87529. After we will calculate the factors of 87522 and 87529 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 87529

Prime factors of 87529 are 13, 6733. Prime factorization of 87529 in exponential form is:

87529 = 13¹ × 6733¹

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 87529

List of positive integer factors of 87529 that divides 87522 without a remainder.

1, 13, 6733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 87522 and 87529. The biggest common factor number is the GCF number.
So the greatest common factor 87522 and 87529 is 1.

Also check out the Least Common Multiple of 87522 and 87529