What is the Greatest Common Factor of 73935 and 73944?

Greatest common factor (GCF) of 73935 and 73944 is 9.

GCF(73935,73944) = 9

We will now calculate the prime factors of 73935 and 73944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73935 and 73944.

How to find the GCF of 73935 and 73944?

We will first find the prime factorization of 73935 and 73944. After we will calculate the factors of 73935 and 73944 and find the biggest common factor number .

Step-1: Prime Factorization of 73935

Prime factors of 73935 are 3, 5, 31, 53. Prime factorization of 73935 in exponential form is:

73935 = 3² × 5¹ × 31¹ × 53¹

Step-2: Prime Factorization of 73944

Prime factors of 73944 are 2, 3, 13, 79. Prime factorization of 73944 in exponential form is:

73944 = 2³ × 3² × 13¹ × 79¹

Step-3: Factors of 73935

List of positive integer factors of 73935 that divides 73935 without a remainder.

1, 3, 5, 9, 15, 31, 45, 53, 93, 155, 159, 265, 279, 465, 477, 795, 1395, 1643, 2385, 4929, 8215, 14787, 24645

Step-4: Factors of 73944

List of positive integer factors of 73944 that divides 73935 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 79, 104, 117, 156, 158, 234, 237, 312, 316, 468, 474, 632, 711, 936, 948, 1027, 1422, 1896, 2054, 2844, 3081, 4108, 5688, 6162, 8216, 9243, 12324, 18486, 24648, 36972

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73935 and 73944. The biggest common factor number is the GCF number.
So the greatest common factor 73935 and 73944 is 9.

Also check out the Least Common Multiple of 73935 and 73944