What is the Greatest Common Factor of 63500 and 63504?

Greatest common factor (GCF) of 63500 and 63504 is 4.

GCF(63500,63504) = 4

We will now calculate the prime factors of 63500 and 63504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 63500 and 63504.

How to find the GCF of 63500 and 63504?

We will first find the prime factorization of 63500 and 63504. After we will calculate the factors of 63500 and 63504 and find the biggest common factor number .

Step-1: Prime Factorization of 63500

Prime factors of 63500 are 2, 5, 127. Prime factorization of 63500 in exponential form is:

63500 = 2² × 5³ × 127¹

Step-2: 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-3: Factors of 63500

List of positive integer factors of 63500 that divides 63500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 127, 250, 254, 500, 508, 635, 1270, 2540, 3175, 6350, 12700, 15875, 31750

Step-4: Factors of 63504

List of positive integer factors of 63504 that divides 63500 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 63500 and 63504. The biggest common factor number is the GCF number.
So the greatest common factor 63500 and 63504 is 4.

Also check out the Least Common Multiple of 63500 and 63504