What is the Greatest Common Factor of 81928 and 81942?

Greatest common factor (GCF) of 81928 and 81942 is 14.

GCF(81928,81942) = 14

We will now calculate the prime factors of 81928 and 81942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81928 and 81942.

How to find the GCF of 81928 and 81942?

We will first find the prime factorization of 81928 and 81942. After we will calculate the factors of 81928 and 81942 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 81942

Prime factors of 81942 are 2, 3, 7, 1951. Prime factorization of 81942 in exponential form is:

81942 = 2¹ × 3¹ × 7¹ × 1951¹

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 81942

List of positive integer factors of 81942 that divides 81928 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1951, 3902, 5853, 11706, 13657, 27314, 40971

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81928 and 81942. The biggest common factor number is the GCF number.
So the greatest common factor 81928 and 81942 is 14.

Also check out the Least Common Multiple of 81928 and 81942