What is the Greatest Common Factor of 56888 and 56902?

Greatest common factor (GCF) of 56888 and 56902 is 2.

GCF(56888,56902) = 2

We will now calculate the prime factors of 56888 and 56902, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56888 and 56902.

How to find the GCF of 56888 and 56902?

We will first find the prime factorization of 56888 and 56902. After we will calculate the factors of 56888 and 56902 and find the biggest common factor number .

Step-1: Prime Factorization of 56888

Prime factors of 56888 are 2, 13, 547. Prime factorization of 56888 in exponential form is:

56888 = 2³ × 13¹ × 547¹

Step-2: Prime Factorization of 56902

Prime factors of 56902 are 2, 23, 1237. Prime factorization of 56902 in exponential form is:

56902 = 2¹ × 23¹ × 1237¹

Step-3: Factors of 56888

List of positive integer factors of 56888 that divides 56888 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 547, 1094, 2188, 4376, 7111, 14222, 28444

Step-4: Factors of 56902

List of positive integer factors of 56902 that divides 56888 without a remainder.

1, 2, 23, 46, 1237, 2474, 28451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56888 and 56902. The biggest common factor number is the GCF number.
So the greatest common factor 56888 and 56902 is 2.

Also check out the Least Common Multiple of 56888 and 56902