What is the Greatest Common Factor of 63506 and 63522?

Greatest common factor (GCF) of 63506 and 63522 is 2.

GCF(63506,63522) = 2

We will now calculate the prime factors of 63506 and 63522, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63506 and 63522.

How to find the GCF of 63506 and 63522?

We will first find the prime factorization of 63506 and 63522. After we will calculate the factors of 63506 and 63522 and find the biggest common factor number .

Step-1: Prime Factorization of 63506

Prime factors of 63506 are 2, 113, 281. Prime factorization of 63506 in exponential form is:

63506 = 2¹ × 113¹ × 281¹

Step-2: 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-3: Factors of 63506

List of positive integer factors of 63506 that divides 63506 without a remainder.

1, 2, 113, 226, 281, 562, 31753

Step-4: Factors of 63522

List of positive integer factors of 63522 that divides 63506 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63506 and 63522. The biggest common factor number is the GCF number.
So the greatest common factor 63506 and 63522 is 2.

Also check out the Least Common Multiple of 63506 and 63522