What is the Greatest Common Factor of 73929 and 73944?

Greatest common factor (GCF) of 73929 and 73944 is 3.

GCF(73929,73944) = 3

We will now calculate the prime factors of 73929 and 73944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73929 and 73944.

How to find the GCF of 73929 and 73944?

We will first find the prime factorization of 73929 and 73944. After we will calculate the factors of 73929 and 73944 and find the biggest common factor number .

Step-1: Prime Factorization of 73929

Prime factors of 73929 are 3, 19, 1297. Prime factorization of 73929 in exponential form is:

73929 = 3¹ × 19¹ × 1297¹

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 73929

List of positive integer factors of 73929 that divides 73929 without a remainder.

1, 3, 19, 57, 1297, 3891, 24643

Step-4: Factors of 73944

List of positive integer factors of 73944 that divides 73929 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 73929 and 73944. The biggest common factor number is the GCF number.
So the greatest common factor 73929 and 73944 is 3.

Also check out the Least Common Multiple of 73929 and 73944