What is the Greatest Common Factor of 56054 and 56072?

Greatest common factor (GCF) of 56054 and 56072 is 2.

GCF(56054,56072) = 2

We will now calculate the prime factors of 56054 and 56072, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56054 and 56072.

How to find the GCF of 56054 and 56072?

We will first find the prime factorization of 56054 and 56072. After we will calculate the factors of 56054 and 56072 and find the biggest common factor number .

Step-1: Prime Factorization of 56054

Prime factors of 56054 are 2, 28027. Prime factorization of 56054 in exponential form is:

56054 = 2¹ × 28027¹

Step-2: Prime Factorization of 56072

Prime factors of 56072 are 2, 43, 163. Prime factorization of 56072 in exponential form is:

56072 = 2³ × 43¹ × 163¹

Step-3: Factors of 56054

List of positive integer factors of 56054 that divides 56054 without a remainder.

1, 2, 28027

Step-4: Factors of 56072

List of positive integer factors of 56072 that divides 56054 without a remainder.

1, 2, 4, 8, 43, 86, 163, 172, 326, 344, 652, 1304, 7009, 14018, 28036

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56054 and 56072. The biggest common factor number is the GCF number.
So the greatest common factor 56054 and 56072 is 2.

Also check out the Least Common Multiple of 56054 and 56072