What is the Greatest Common Factor of 63504 and 63519?

Greatest common factor (GCF) of 63504 and 63519 is 3.

GCF(63504,63519) = 3

We will now calculate the prime factors of 63504 and 63519, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63504 and 63519.

How to find the GCF of 63504 and 63519?

We will first find the prime factorization of 63504 and 63519. After we will calculate the factors of 63504 and 63519 and find the biggest common factor number .

Step-1: Prime Factorization of 63504

Prime factors of 63504 are 2, 3, 7. Prime factorization of 63504 in exponential form is:

63504 = 2⁴ × 3⁴ × 7²

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 63504

List of positive integer factors of 63504 that divides 63504 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 49, 54, 56, 63, 72, 81, 84, 98, 108, 112, 126, 144, 147, 162, 168, 189, 196, 216, 252, 294, 324, 336, 378, 392, 432, 441, 504, 567, 588, 648, 756, 784, 882, 1008, 1134, 1176, 1296, 1323, 1512, 1764, 2268, 2352, 2646, 3024, 3528, 3969, 4536, 5292, 7056, 7938, 9072, 10584, 15876, 21168, 31752

Step-4: Factors of 63519

List of positive integer factors of 63519 that divides 63504 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63504 and 63519. The biggest common factor number is the GCF number.
So the greatest common factor 63504 and 63519 is 3.

Also check out the Least Common Multiple of 63504 and 63519