What is the Greatest Common Factor of 73584 and 73590?

Greatest common factor (GCF) of 73584 and 73590 is 6.

GCF(73584,73590) = 6

We will now calculate the prime factors of 73584 and 73590, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73584 and 73590.

How to find the GCF of 73584 and 73590?

We will first find the prime factorization of 73584 and 73590. After we will calculate the factors of 73584 and 73590 and find the biggest common factor number .

Step-1: Prime Factorization of 73584

Prime factors of 73584 are 2, 3, 7, 73. Prime factorization of 73584 in exponential form is:

73584 = 2⁴ × 3² × 7¹ × 73¹

Step-2: Prime Factorization of 73590

Prime factors of 73590 are 2, 3, 5, 11, 223. Prime factorization of 73590 in exponential form is:

73590 = 2¹ × 3¹ × 5¹ × 11¹ × 223¹

Step-3: Factors of 73584

List of positive integer factors of 73584 that divides 73584 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 36, 42, 48, 56, 63, 72, 73, 84, 112, 126, 144, 146, 168, 219, 252, 292, 336, 438, 504, 511, 584, 657, 876, 1008, 1022, 1168, 1314, 1533, 1752, 2044, 2628, 3066, 3504, 4088, 4599, 5256, 6132, 8176, 9198, 10512, 12264, 18396, 24528, 36792

Step-4: Factors of 73590

List of positive integer factors of 73590 that divides 73584 without a remainder.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 223, 330, 446, 669, 1115, 1338, 2230, 2453, 3345, 4906, 6690, 7359, 12265, 14718, 24530, 36795

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73584 and 73590. The biggest common factor number is the GCF number.
So the greatest common factor 73584 and 73590 is 6.

Also check out the Least Common Multiple of 73584 and 73590