What is the Greatest Common Factor of 56144 and 56148?

Greatest common factor (GCF) of 56144 and 56148 is 4.

GCF(56144,56148) = 4

We will now calculate the prime factors of 56144 and 56148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 56144 and 56148.

How to find the GCF of 56144 and 56148?

We will first find the prime factorization of 56144 and 56148. After we will calculate the factors of 56144 and 56148 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 56148

Prime factors of 56148 are 2, 3, 4679. Prime factorization of 56148 in exponential form is:

56148 = 2² × 3¹ × 4679¹

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 56148

List of positive integer factors of 56148 that divides 56144 without a remainder.

1, 2, 3, 4, 6, 12, 4679, 9358, 14037, 18716, 28074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 56144 and 56148. The biggest common factor number is the GCF number.
So the greatest common factor 56144 and 56148 is 4.

Also check out the Least Common Multiple of 56144 and 56148