What is the Greatest Common Factor of 42768 and 42783?

Greatest common factor (GCF) of 42768 and 42783 is 3.

GCF(42768,42783) = 3

We will now calculate the prime factors of 42768 and 42783, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42768 and 42783.

How to find the GCF of 42768 and 42783?

We will first find the prime factorization of 42768 and 42783. After we will calculate the factors of 42768 and 42783 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 42783

Prime factors of 42783 are 3, 13, 1097. Prime factorization of 42783 in exponential form is:

42783 = 3¹ × 13¹ × 1097¹

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 42783

List of positive integer factors of 42783 that divides 42768 without a remainder.

1, 3, 13, 39, 1097, 3291, 14261

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42768 and 42783. The biggest common factor number is the GCF number.
So the greatest common factor 42768 and 42783 is 3.

Also check out the Least Common Multiple of 42768 and 42783