What is the Greatest Common Factor of 56144 and 56162?

Greatest common factor (GCF) of 56144 and 56162 is 2.

GCF(56144,56162) = 2

We will now calculate the prime factors of 56144 and 56162, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56144 and 56162.

How to find the GCF of 56144 and 56162?

We will first find the prime factorization of 56144 and 56162. After we will calculate the factors of 56144 and 56162 and find the biggest common factor number .

Step-1: Prime Factorization of 56144

Prime factors of 56144 are 2, 11, 29. Prime factorization of 56144 in exponential form is:

56144 = 2⁴ × 11² × 29¹

Step-2: Prime Factorization of 56162

Prime factors of 56162 are 2, 28081. Prime factorization of 56162 in exponential form is:

56162 = 2¹ × 28081¹

Step-3: Factors of 56144

List of positive integer factors of 56144 that divides 56144 without a remainder.

1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 121, 176, 232, 242, 319, 464, 484, 638, 968, 1276, 1936, 2552, 3509, 5104, 7018, 14036, 28072

Step-4: Factors of 56162

List of positive integer factors of 56162 that divides 56144 without a remainder.

1, 2, 28081

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56144 and 56162. The biggest common factor number is the GCF number.
So the greatest common factor 56144 and 56162 is 2.

Also check out the Least Common Multiple of 56144 and 56162