What is the Greatest Common Factor of 71928 and 71943?

Greatest common factor (GCF) of 71928 and 71943 is 3.

GCF(71928,71943) = 3

We will now calculate the prime factors of 71928 and 71943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71928 and 71943.

How to find the GCF of 71928 and 71943?

We will first find the prime factorization of 71928 and 71943. After we will calculate the factors of 71928 and 71943 and find the biggest common factor number .

Step-1: Prime Factorization of 71928

Prime factors of 71928 are 2, 3, 37. Prime factorization of 71928 in exponential form is:

71928 = 2³ × 3⁵ × 37¹

Step-2: Prime Factorization of 71943

Prime factors of 71943 are 3, 23981. Prime factorization of 71943 in exponential form is:

71943 = 3¹ × 23981¹

Step-3: Factors of 71928

List of positive integer factors of 71928 that divides 71928 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 37, 54, 72, 74, 81, 108, 111, 148, 162, 216, 222, 243, 296, 324, 333, 444, 486, 648, 666, 888, 972, 999, 1332, 1944, 1998, 2664, 2997, 3996, 5994, 7992, 8991, 11988, 17982, 23976, 35964

Step-4: Factors of 71943

List of positive integer factors of 71943 that divides 71928 without a remainder.

1, 3, 23981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71928 and 71943. The biggest common factor number is the GCF number.
So the greatest common factor 71928 and 71943 is 3.

Also check out the Least Common Multiple of 71928 and 71943