What is the Greatest Common Factor of 71928 and 71934?

Greatest common factor (GCF) of 71928 and 71934 is 6.

GCF(71928,71934) = 6

We will now calculate the prime factors of 71928 and 71934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71928 and 71934.

How to find the GCF of 71928 and 71934?

We will first find the prime factorization of 71928 and 71934. After we will calculate the factors of 71928 and 71934 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 71934

Prime factors of 71934 are 2, 3, 19, 631. Prime factorization of 71934 in exponential form is:

71934 = 2¹ × 3¹ × 19¹ × 631¹

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 71934

List of positive integer factors of 71934 that divides 71928 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 631, 1262, 1893, 3786, 11989, 23978, 35967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71928 and 71934. The biggest common factor number is the GCF number.
So the greatest common factor 71928 and 71934 is 6.

Also check out the Least Common Multiple of 71928 and 71934