What is the Greatest Common Factor of 63519 and 63528?

Greatest common factor (GCF) of 63519 and 63528 is 3.

GCF(63519,63528) = 3

We will now calculate the prime factors of 63519 and 63528, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63519 and 63528.

How to find the GCF of 63519 and 63528?

We will first find the prime factorization of 63519 and 63528. After we will calculate the factors of 63519 and 63528 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 63528

Prime factors of 63528 are 2, 3, 2647. Prime factorization of 63528 in exponential form is:

63528 = 2³ × 3¹ × 2647¹

Step-3: Factors of 63519

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

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

Step-4: Factors of 63528

List of positive integer factors of 63528 that divides 63519 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2647, 5294, 7941, 10588, 15882, 21176, 31764

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63519 and 63528. The biggest common factor number is the GCF number.
So the greatest common factor 63519 and 63528 is 3.

Also check out the Least Common Multiple of 63519 and 63528