What is the Greatest Common Factor of 56428 and 56434?

Greatest common factor (GCF) of 56428 and 56434 is 2.

GCF(56428,56434) = 2

We will now calculate the prime factors of 56428 and 56434, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56428 and 56434.

How to find the GCF of 56428 and 56434?

We will first find the prime factorization of 56428 and 56434. After we will calculate the factors of 56428 and 56434 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 56434

Prime factors of 56434 are 2, 7, 29, 139. Prime factorization of 56434 in exponential form is:

56434 = 2¹ × 7¹ × 29¹ × 139¹

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 56434

List of positive integer factors of 56434 that divides 56428 without a remainder.

1, 2, 7, 14, 29, 58, 139, 203, 278, 406, 973, 1946, 4031, 8062, 28217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56428 and 56434. The biggest common factor number is the GCF number.
So the greatest common factor 56428 and 56434 is 2.

Also check out the Least Common Multiple of 56428 and 56434