What is the Greatest Common Factor of 81928 and 81948?

Greatest common factor (GCF) of 81928 and 81948 is 4.

GCF(81928,81948) = 4

We will now calculate the prime factors of 81928 and 81948, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81928 and 81948.

How to find the GCF of 81928 and 81948?

We will first find the prime factorization of 81928 and 81948. After we will calculate the factors of 81928 and 81948 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 81948

Prime factors of 81948 are 2, 3, 6829. Prime factorization of 81948 in exponential form is:

81948 = 2² × 3¹ × 6829¹

Step-3: Factors of 81928

List of positive integer factors of 81928 that divides 81928 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

Step-4: Factors of 81948

List of positive integer factors of 81948 that divides 81928 without a remainder.

1, 2, 3, 4, 6, 12, 6829, 13658, 20487, 27316, 40974

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81928 and 81948. The biggest common factor number is the GCF number.
So the greatest common factor 81928 and 81948 is 4.

Also check out the Least Common Multiple of 81928 and 81948