What is the Greatest Common Factor of 42768 and 42784?

Greatest common factor (GCF) of 42768 and 42784 is 16.

GCF(42768,42784) = 16

We will now calculate the prime factors of 42768 and 42784, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42768 and 42784.

How to find the GCF of 42768 and 42784?

We will first find the prime factorization of 42768 and 42784. After we will calculate the factors of 42768 and 42784 and find the biggest common factor number .

Step-1: Prime Factorization of 42768

Prime factors of 42768 are 2, 3, 11. Prime factorization of 42768 in exponential form is:

42768 = 2⁴ × 3⁵ × 11¹

Step-2: Prime Factorization of 42784

Prime factors of 42784 are 2, 7, 191. Prime factorization of 42784 in exponential form is:

42784 = 2⁵ × 7¹ × 191¹

Step-3: Factors of 42768

List of positive integer factors of 42768 that divides 42768 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 16, 18, 22, 24, 27, 33, 36, 44, 48, 54, 66, 72, 81, 88, 99, 108, 132, 144, 162, 176, 198, 216, 243, 264, 297, 324, 396, 432, 486, 528, 594, 648, 792, 891, 972, 1188, 1296, 1584, 1782, 1944, 2376, 2673, 3564, 3888, 4752, 5346, 7128, 10692, 14256, 21384

Step-4: Factors of 42784

List of positive integer factors of 42784 that divides 42768 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 191, 224, 382, 764, 1337, 1528, 2674, 3056, 5348, 6112, 10696, 21392

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42768 and 42784. The biggest common factor number is the GCF number.
So the greatest common factor 42768 and 42784 is 16.

Also check out the Least Common Multiple of 42768 and 42784