What is the Greatest Common Factor of 56122 and 56142?

Greatest common factor (GCF) of 56122 and 56142 is 2.

GCF(56122,56142) = 2

We will now calculate the prime factors of 56122 and 56142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56122 and 56142.

How to find the GCF of 56122 and 56142?

We will first find the prime factorization of 56122 and 56142. After we will calculate the factors of 56122 and 56142 and find the biggest common factor number .

Step-1: Prime Factorization of 56122

Prime factors of 56122 are 2, 11, 2551. Prime factorization of 56122 in exponential form is:

56122 = 2¹ × 11¹ × 2551¹

Step-2: Prime Factorization of 56142

Prime factors of 56142 are 2, 3, 3119. Prime factorization of 56142 in exponential form is:

56142 = 2¹ × 3² × 3119¹

Step-3: Factors of 56122

List of positive integer factors of 56122 that divides 56122 without a remainder.

1, 2, 11, 22, 2551, 5102, 28061

Step-4: Factors of 56142

List of positive integer factors of 56142 that divides 56122 without a remainder.

1, 2, 3, 6, 9, 18, 3119, 6238, 9357, 18714, 28071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56122 and 56142. The biggest common factor number is the GCF number.
So the greatest common factor 56122 and 56142 is 2.

Also check out the Least Common Multiple of 56122 and 56142