What is the Greatest Common Factor of 42790 and 42801?

Greatest common factor (GCF) of 42790 and 42801 is 11.

GCF(42790,42801) = 11

We will now calculate the prime factors of 42790 and 42801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42790 and 42801.

How to find the GCF of 42790 and 42801?

We will first find the prime factorization of 42790 and 42801. After we will calculate the factors of 42790 and 42801 and find the biggest common factor number .

Step-1: Prime Factorization of 42790

Prime factors of 42790 are 2, 5, 11, 389. Prime factorization of 42790 in exponential form is:

42790 = 2¹ × 5¹ × 11¹ × 389¹

Step-2: Prime Factorization of 42801

Prime factors of 42801 are 3, 11, 1297. Prime factorization of 42801 in exponential form is:

42801 = 3¹ × 11¹ × 1297¹

Step-3: Factors of 42790

List of positive integer factors of 42790 that divides 42790 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110, 389, 778, 1945, 3890, 4279, 8558, 21395

Step-4: Factors of 42801

List of positive integer factors of 42801 that divides 42790 without a remainder.

1, 3, 11, 33, 1297, 3891, 14267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42790 and 42801. The biggest common factor number is the GCF number.
So the greatest common factor 42790 and 42801 is 11.

Also check out the Least Common Multiple of 42790 and 42801