What is the Greatest Common Factor of 54148 and 54152?

Greatest common factor (GCF) of 54148 and 54152 is 4.

GCF(54148,54152) = 4

We will now calculate the prime factors of 54148 and 54152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 54148 and 54152.

How to find the GCF of 54148 and 54152?

We will first find the prime factorization of 54148 and 54152. After we will calculate the factors of 54148 and 54152 and find the biggest common factor number .

Step-1: Prime Factorization of 54148

Prime factors of 54148 are 2, 13537. Prime factorization of 54148 in exponential form is:

54148 = 2² × 13537¹

Step-2: Prime Factorization of 54152

Prime factors of 54152 are 2, 7, 967. Prime factorization of 54152 in exponential form is:

54152 = 2³ × 7¹ × 967¹

Step-3: Factors of 54148

List of positive integer factors of 54148 that divides 54148 without a remainder.

1, 2, 4, 13537, 27074

Step-4: Factors of 54152

List of positive integer factors of 54152 that divides 54148 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 967, 1934, 3868, 6769, 7736, 13538, 27076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 54148 and 54152. The biggest common factor number is the GCF number.
So the greatest common factor 54148 and 54152 is 4.

Also check out the Least Common Multiple of 54148 and 54152