What is the Greatest Common Factor of 42756 and 42771?

Greatest common factor (GCF) of 42756 and 42771 is 3.

GCF(42756,42771) = 3

We will now calculate the prime factors of 42756 and 42771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42756 and 42771.

How to find the GCF of 42756 and 42771?

We will first find the prime factorization of 42756 and 42771. After we will calculate the factors of 42756 and 42771 and find the biggest common factor number .

Step-1: Prime Factorization of 42756

Prime factors of 42756 are 2, 3, 7, 509. Prime factorization of 42756 in exponential form is:

42756 = 2² × 3¹ × 7¹ × 509¹

Step-2: Prime Factorization of 42771

Prime factors of 42771 are 3, 53, 269. Prime factorization of 42771 in exponential form is:

42771 = 3¹ × 53¹ × 269¹

Step-3: Factors of 42756

List of positive integer factors of 42756 that divides 42756 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 509, 1018, 1527, 2036, 3054, 3563, 6108, 7126, 10689, 14252, 21378

Step-4: Factors of 42771

List of positive integer factors of 42771 that divides 42756 without a remainder.

1, 3, 53, 159, 269, 807, 14257

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42756 and 42771. The biggest common factor number is the GCF number.
So the greatest common factor 42756 and 42771 is 3.

Also check out the Least Common Multiple of 42756 and 42771