What is the Greatest Common Factor of 63522 and 63529?

Greatest common factor (GCF) of 63522 and 63529 is 1.

GCF(63522,63529) = 1

We will now calculate the prime factors of 63522 and 63529, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63522 and 63529.

How to find the GCF of 63522 and 63529?

We will first find the prime factorization of 63522 and 63529. After we will calculate the factors of 63522 and 63529 and find the biggest common factor number .

Step-1: Prime Factorization of 63522

Prime factors of 63522 are 2, 3, 3529. Prime factorization of 63522 in exponential form is:

63522 = 2¹ × 3² × 3529¹

Step-2: Prime Factorization of 63529

Prime factors of 63529 are 17, 37, 101. Prime factorization of 63529 in exponential form is:

63529 = 17¹ × 37¹ × 101¹

Step-3: Factors of 63522

List of positive integer factors of 63522 that divides 63522 without a remainder.

1, 2, 3, 6, 9, 18, 3529, 7058, 10587, 21174, 31761

Step-4: Factors of 63529

List of positive integer factors of 63529 that divides 63522 without a remainder.

1, 17, 37, 101, 629, 1717, 3737

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63522 and 63529. The biggest common factor number is the GCF number.
So the greatest common factor 63522 and 63529 is 1.

Also check out the Least Common Multiple of 63522 and 63529