What is the Greatest Common Factor of 42778 and 42782?

Greatest common factor (GCF) of 42778 and 42782 is 2.

GCF(42778,42782) = 2

We will now calculate the prime factors of 42778 and 42782, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42778 and 42782.

How to find the GCF of 42778 and 42782?

We will first find the prime factorization of 42778 and 42782. After we will calculate the factors of 42778 and 42782 and find the biggest common factor number .

Step-1: Prime Factorization of 42778

Prime factors of 42778 are 2, 73, 293. Prime factorization of 42778 in exponential form is:

42778 = 2¹ × 73¹ × 293¹

Step-2: Prime Factorization of 42782

Prime factors of 42782 are 2, 21391. Prime factorization of 42782 in exponential form is:

42782 = 2¹ × 21391¹

Step-3: Factors of 42778

List of positive integer factors of 42778 that divides 42778 without a remainder.

1, 2, 73, 146, 293, 586, 21389

Step-4: Factors of 42782

List of positive integer factors of 42782 that divides 42778 without a remainder.

1, 2, 21391

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42778 and 42782. The biggest common factor number is the GCF number.
So the greatest common factor 42778 and 42782 is 2.

Also check out the Least Common Multiple of 42778 and 42782