What is the Greatest Common Factor of 81912 and 81928?

Greatest common factor (GCF) of 81912 and 81928 is 8.

GCF(81912,81928) = 8

We will now calculate the prime factors of 81912 and 81928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81912 and 81928.

How to find the GCF of 81912 and 81928?

We will first find the prime factorization of 81912 and 81928. After we will calculate the factors of 81912 and 81928 and find the biggest common factor number .

Step-1: Prime Factorization of 81912

Prime factors of 81912 are 2, 3, 3413. Prime factorization of 81912 in exponential form is:

81912 = 2³ × 3¹ × 3413¹

Step-2: Prime Factorization of 81928

Prime factors of 81928 are 2, 7, 11, 19. Prime factorization of 81928 in exponential form is:

81928 = 2³ × 7² × 11¹ × 19¹

Step-3: Factors of 81912

List of positive integer factors of 81912 that divides 81912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 3413, 6826, 10239, 13652, 20478, 27304, 40956

Step-4: Factors of 81928

List of positive integer factors of 81928 that divides 81912 without a remainder.

1, 2, 4, 7, 8, 11, 14, 19, 22, 28, 38, 44, 49, 56, 76, 77, 88, 98, 133, 152, 154, 196, 209, 266, 308, 392, 418, 532, 539, 616, 836, 931, 1064, 1078, 1463, 1672, 1862, 2156, 2926, 3724, 4312, 5852, 7448, 10241, 11704, 20482, 40964

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81912 and 81928. The biggest common factor number is the GCF number.
So the greatest common factor 81912 and 81928 is 8.

Also check out the Least Common Multiple of 81912 and 81928