What is the Greatest Common Factor of 49548 and 49552?

Greatest common factor (GCF) of 49548 and 49552 is 4.

GCF(49548,49552) = 4

We will now calculate the prime factors of 49548 and 49552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 49548 and 49552.

How to find the GCF of 49548 and 49552?

We will first find the prime factorization of 49548 and 49552. After we will calculate the factors of 49548 and 49552 and find the biggest common factor number .

Step-1: Prime Factorization of 49548

Prime factors of 49548 are 2, 3, 4129. Prime factorization of 49548 in exponential form is:

49548 = 2² × 3¹ × 4129¹

Step-2: Prime Factorization of 49552

Prime factors of 49552 are 2, 19, 163. Prime factorization of 49552 in exponential form is:

49552 = 2⁴ × 19¹ × 163¹

Step-3: Factors of 49548

List of positive integer factors of 49548 that divides 49548 without a remainder.

1, 2, 3, 4, 6, 12, 4129, 8258, 12387, 16516, 24774

Step-4: Factors of 49552

List of positive integer factors of 49552 that divides 49548 without a remainder.

1, 2, 4, 8, 16, 19, 38, 76, 152, 163, 304, 326, 652, 1304, 2608, 3097, 6194, 12388, 24776

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 49548 and 49552. The biggest common factor number is the GCF number.
So the greatest common factor 49548 and 49552 is 4.

Also check out the Least Common Multiple of 49548 and 49552