What is the Greatest Common Factor of 42788 and 42807?

Greatest common factor (GCF) of 42788 and 42807 is 19.

GCF(42788,42807) = 19

We will now calculate the prime factors of 42788 and 42807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42788 and 42807.

How to find the GCF of 42788 and 42807?

We will first find the prime factorization of 42788 and 42807. After we will calculate the factors of 42788 and 42807 and find the biggest common factor number .

Step-1: Prime Factorization of 42788

Prime factors of 42788 are 2, 19, 563. Prime factorization of 42788 in exponential form is:

42788 = 2² × 19¹ × 563¹

Step-2: Prime Factorization of 42807

Prime factors of 42807 are 3, 19, 751. Prime factorization of 42807 in exponential form is:

42807 = 3¹ × 19¹ × 751¹

Step-3: Factors of 42788

List of positive integer factors of 42788 that divides 42788 without a remainder.

1, 2, 4, 19, 38, 76, 563, 1126, 2252, 10697, 21394

Step-4: Factors of 42807

List of positive integer factors of 42807 that divides 42788 without a remainder.

1, 3, 19, 57, 751, 2253, 14269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42788 and 42807. The biggest common factor number is the GCF number.
So the greatest common factor 42788 and 42807 is 19.

Also check out the Least Common Multiple of 42788 and 42807