What is the Greatest Common Factor of 76548 and 76552?

Greatest common factor (GCF) of 76548 and 76552 is 4.

GCF(76548,76552) = 4

We will now calculate the prime factors of 76548 and 76552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 76548 and 76552.

How to find the GCF of 76548 and 76552?

We will first find the prime factorization of 76548 and 76552. After we will calculate the factors of 76548 and 76552 and find the biggest common factor number .

Step-1: Prime Factorization of 76548

Prime factors of 76548 are 2, 3, 6379. Prime factorization of 76548 in exponential form is:

76548 = 2² × 3¹ × 6379¹

Step-2: Prime Factorization of 76552

Prime factors of 76552 are 2, 7, 1367. Prime factorization of 76552 in exponential form is:

76552 = 2³ × 7¹ × 1367¹

Step-3: Factors of 76548

List of positive integer factors of 76548 that divides 76548 without a remainder.

1, 2, 3, 4, 6, 12, 6379, 12758, 19137, 25516, 38274

Step-4: Factors of 76552

List of positive integer factors of 76552 that divides 76548 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 1367, 2734, 5468, 9569, 10936, 19138, 38276

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 76548 and 76552. The biggest common factor number is the GCF number.
So the greatest common factor 76548 and 76552 is 4.

Also check out the Least Common Multiple of 76548 and 76552