What is the Greatest Common Factor of 63504 and 63509?

Greatest common factor (GCF) of 63504 and 63509 is 1.

GCF(63504,63509) = 1

We will now calculate the prime factors of 63504 and 63509, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63504 and 63509.

How to find the GCF of 63504 and 63509?

We will first find the prime factorization of 63504 and 63509. After we will calculate the factors of 63504 and 63509 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 63509

Prime factors of 63509 are 41, 1549. Prime factorization of 63509 in exponential form is:

63509 = 41¹ × 1549¹

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 63509

List of positive integer factors of 63509 that divides 63504 without a remainder.

1, 41, 1549

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63504 and 63509. The biggest common factor number is the GCF number.
So the greatest common factor 63504 and 63509 is 1.

Also check out the Least Common Multiple of 63504 and 63509