What is the Greatest Common Factor of 56428 and 56440?

Greatest common factor (GCF) of 56428 and 56440 is 4.

GCF(56428,56440) = 4

We will now calculate the prime factors of 56428 and 56440, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56428 and 56440.

How to find the GCF of 56428 and 56440?

We will first find the prime factorization of 56428 and 56440. After we will calculate the factors of 56428 and 56440 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 56440

Prime factors of 56440 are 2, 5, 17, 83. Prime factorization of 56440 in exponential form is:

56440 = 2³ × 5¹ × 17¹ × 83¹

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 56440

List of positive integer factors of 56440 that divides 56428 without a remainder.

1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 83, 85, 136, 166, 170, 332, 340, 415, 664, 680, 830, 1411, 1660, 2822, 3320, 5644, 7055, 11288, 14110, 28220

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56428 and 56440. The biggest common factor number is the GCF number.
So the greatest common factor 56428 and 56440 is 4.

Also check out the Least Common Multiple of 56428 and 56440