What is the Greatest Common Factor of 63507 and 63519?

Greatest common factor (GCF) of 63507 and 63519 is 3.

GCF(63507,63519) = 3

We will now calculate the prime factors of 63507 and 63519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63507 and 63519.

How to find the GCF of 63507 and 63519?

We will first find the prime factorization of 63507 and 63519. After we will calculate the factors of 63507 and 63519 and find the biggest common factor number .

Step-1: Prime Factorization of 63507

Prime factors of 63507 are 3, 21169. Prime factorization of 63507 in exponential form is:

63507 = 3¹ × 21169¹

Step-2: Prime Factorization of 63519

Prime factors of 63519 are 3, 31, 683. Prime factorization of 63519 in exponential form is:

63519 = 3¹ × 31¹ × 683¹

Step-3: Factors of 63507

List of positive integer factors of 63507 that divides 63507 without a remainder.

1, 3, 21169

Step-4: Factors of 63519

List of positive integer factors of 63519 that divides 63507 without a remainder.

1, 3, 31, 93, 683, 2049, 21173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63507 and 63519. The biggest common factor number is the GCF number.
So the greatest common factor 63507 and 63519 is 3.

Also check out the Least Common Multiple of 63507 and 63519