What is the Greatest Common Factor of 42768 and 42777?

Greatest common factor (GCF) of 42768 and 42777 is 9.

GCF(42768,42777) = 9

We will now calculate the prime factors of 42768 and 42777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42768 and 42777.

How to find the GCF of 42768 and 42777?

We will first find the prime factorization of 42768 and 42777. After we will calculate the factors of 42768 and 42777 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 42777

Prime factors of 42777 are 3, 7, 97. Prime factorization of 42777 in exponential form is:

42777 = 3² × 7² × 97¹

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 42777

List of positive integer factors of 42777 that divides 42768 without a remainder.

1, 3, 7, 9, 21, 49, 63, 97, 147, 291, 441, 679, 873, 2037, 4753, 6111, 14259

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42768 and 42777. The biggest common factor number is the GCF number.
So the greatest common factor 42768 and 42777 is 9.

Also check out the Least Common Multiple of 42768 and 42777