What is the Greatest Common Factor of 73128 and 73143?

Greatest common factor (GCF) of 73128 and 73143 is 3.

GCF(73128,73143) = 3

We will now calculate the prime factors of 73128 and 73143, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73128 and 73143.

How to find the GCF of 73128 and 73143?

We will first find the prime factorization of 73128 and 73143. After we will calculate the factors of 73128 and 73143 and find the biggest common factor number .

Step-1: Prime Factorization of 73128

Prime factors of 73128 are 2, 3, 11, 277. Prime factorization of 73128 in exponential form is:

73128 = 2³ × 3¹ × 11¹ × 277¹

Step-2: Prime Factorization of 73143

Prime factors of 73143 are 3, 7, 43. Prime factorization of 73143 in exponential form is:

73143 = 3⁵ × 7¹ × 43¹

Step-3: Factors of 73128

List of positive integer factors of 73128 that divides 73128 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264, 277, 554, 831, 1108, 1662, 2216, 3047, 3324, 6094, 6648, 9141, 12188, 18282, 24376, 36564

Step-4: Factors of 73143

List of positive integer factors of 73143 that divides 73128 without a remainder.

1, 3, 7, 9, 21, 27, 43, 63, 81, 129, 189, 243, 301, 387, 567, 903, 1161, 1701, 2709, 3483, 8127, 10449, 24381

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73128 and 73143. The biggest common factor number is the GCF number.
So the greatest common factor 73128 and 73143 is 3.

Also check out the Least Common Multiple of 73128 and 73143