What is the Greatest Common Factor of 56428 and 56438?

Greatest common factor (GCF) of 56428 and 56438 is 2.

GCF(56428,56438) = 2

We will now calculate the prime factors of 56428 and 56438, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56428 and 56438.

How to find the GCF of 56428 and 56438?

We will first find the prime factorization of 56428 and 56438. After we will calculate the factors of 56428 and 56438 and find the biggest common factor number .

Step-1: Prime Factorization of 56428

Prime factors of 56428 are 2, 14107. Prime factorization of 56428 in exponential form is:

56428 = 2² × 14107¹

Step-2: Prime Factorization of 56438

Prime factors of 56438 are 2, 28219. Prime factorization of 56438 in exponential form is:

56438 = 2¹ × 28219¹

Step-3: Factors of 56428

List of positive integer factors of 56428 that divides 56428 without a remainder.

1, 2, 4, 14107, 28214

Step-4: Factors of 56438

List of positive integer factors of 56438 that divides 56428 without a remainder.

1, 2, 28219

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56428 and 56438. The biggest common factor number is the GCF number.
So the greatest common factor 56428 and 56438 is 2.

Also check out the Least Common Multiple of 56428 and 56438