What is the Greatest Common Factor of 38976 and 38992?

Greatest common factor (GCF) of 38976 and 38992 is 16.

GCF(38976,38992) = 16

We will now calculate the prime factors of 38976 and 38992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 38976 and 38992.

How to find the GCF of 38976 and 38992?

We will first find the prime factorization of 38976 and 38992. After we will calculate the factors of 38976 and 38992 and find the biggest common factor number .

Step-1: Prime Factorization of 38976

Prime factors of 38976 are 2, 3, 7, 29. Prime factorization of 38976 in exponential form is:

38976 = 2⁶ × 3¹ × 7¹ × 29¹

Step-2: Prime Factorization of 38992

Prime factors of 38992 are 2, 2437. Prime factorization of 38992 in exponential form is:

38992 = 2⁴ × 2437¹

Step-3: Factors of 38976

List of positive integer factors of 38976 that divides 38976 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 29, 32, 42, 48, 56, 58, 64, 84, 87, 96, 112, 116, 168, 174, 192, 203, 224, 232, 336, 348, 406, 448, 464, 609, 672, 696, 812, 928, 1218, 1344, 1392, 1624, 1856, 2436, 2784, 3248, 4872, 5568, 6496, 9744, 12992, 19488

Step-4: Factors of 38992

List of positive integer factors of 38992 that divides 38976 without a remainder.

1, 2, 4, 8, 16, 2437, 4874, 9748, 19496

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 38976 and 38992. The biggest common factor number is the GCF number.
So the greatest common factor 38976 and 38992 is 16.

Also check out the Least Common Multiple of 38976 and 38992