What is the Greatest Common Factor of 73584 and 73602?

Greatest common factor (GCF) of 73584 and 73602 is 18.

GCF(73584,73602) = 18

We will now calculate the prime factors of 73584 and 73602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73584 and 73602.

How to find the GCF of 73584 and 73602?

We will first find the prime factorization of 73584 and 73602. After we will calculate the factors of 73584 and 73602 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 73602

Prime factors of 73602 are 2, 3, 29, 47. Prime factorization of 73602 in exponential form is:

73602 = 2¹ × 3³ × 29¹ × 47¹

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 73602

List of positive integer factors of 73602 that divides 73584 without a remainder.

1, 2, 3, 6, 9, 18, 27, 29, 47, 54, 58, 87, 94, 141, 174, 261, 282, 423, 522, 783, 846, 1269, 1363, 1566, 2538, 2726, 4089, 8178, 12267, 24534, 36801

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73584 and 73602. The biggest common factor number is the GCF number.
So the greatest common factor 73584 and 73602 is 18.

Also check out the Least Common Multiple of 73584 and 73602