What is the Greatest Common Factor of 48552 and 48558?

Greatest common factor (GCF) of 48552 and 48558 is 6.

GCF(48552,48558) = 6

We will now calculate the prime factors of 48552 and 48558, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48552 and 48558.

How to find the GCF of 48552 and 48558?

We will first find the prime factorization of 48552 and 48558. After we will calculate the factors of 48552 and 48558 and find the biggest common factor number .

Step-1: Prime Factorization of 48552

Prime factors of 48552 are 2, 3, 7, 17. Prime factorization of 48552 in exponential form is:

48552 = 2³ × 3¹ × 7¹ × 17²

Step-2: Prime Factorization of 48558

Prime factors of 48558 are 2, 3, 8093. Prime factorization of 48558 in exponential form is:

48558 = 2¹ × 3¹ × 8093¹

Step-3: Factors of 48552

List of positive integer factors of 48552 that divides 48552 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 17, 21, 24, 28, 34, 42, 51, 56, 68, 84, 102, 119, 136, 168, 204, 238, 289, 357, 408, 476, 578, 714, 867, 952, 1156, 1428, 1734, 2023, 2312, 2856, 3468, 4046, 6069, 6936, 8092, 12138, 16184, 24276

Step-4: Factors of 48558

List of positive integer factors of 48558 that divides 48552 without a remainder.

1, 2, 3, 6, 8093, 16186, 24279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48552 and 48558. The biggest common factor number is the GCF number.
So the greatest common factor 48552 and 48558 is 6.

Also check out the Least Common Multiple of 48552 and 48558