What is the Greatest Common Factor of 73944 and 73959?

Greatest common factor (GCF) of 73944 and 73959 is 3.

GCF(73944,73959) = 3

We will now calculate the prime factors of 73944 and 73959, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73944 and 73959.

How to find the GCF of 73944 and 73959?

We will first find the prime factorization of 73944 and 73959. After we will calculate the factors of 73944 and 73959 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73959

Prime factors of 73959 are 3, 89, 277. Prime factorization of 73959 in exponential form is:

73959 = 3¹ × 89¹ × 277¹

Step-3: Factors of 73944

List of positive integer factors of 73944 that divides 73944 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

Step-4: Factors of 73959

List of positive integer factors of 73959 that divides 73944 without a remainder.

1, 3, 89, 267, 277, 831, 24653

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73944 and 73959. The biggest common factor number is the GCF number.
So the greatest common factor 73944 and 73959 is 3.

Also check out the Least Common Multiple of 73944 and 73959