What is the Greatest Common Factor of 73944 and 73953?

Greatest common factor (GCF) of 73944 and 73953 is 9.

GCF(73944,73953) = 9

We will now calculate the prime factors of 73944 and 73953, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73944 and 73953.

How to find the GCF of 73944 and 73953?

We will first find the prime factorization of 73944 and 73953. After we will calculate the factors of 73944 and 73953 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 73953

Prime factors of 73953 are 3, 11, 83. Prime factorization of 73953 in exponential form is:

73953 = 3⁴ × 11¹ × 83¹

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 73953

List of positive integer factors of 73953 that divides 73944 without a remainder.

1, 3, 9, 11, 27, 33, 81, 83, 99, 249, 297, 747, 891, 913, 2241, 2739, 6723, 8217, 24651

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73944 and 73953. The biggest common factor number is the GCF number.
So the greatest common factor 73944 and 73953 is 9.

Also check out the Least Common Multiple of 73944 and 73953