What is the Greatest Common Factor of 48552 and 48569?

Greatest common factor (GCF) of 48552 and 48569 is 17.

GCF(48552,48569) = 17

We will now calculate the prime factors of 48552 and 48569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48552 and 48569.

How to find the GCF of 48552 and 48569?

We will first find the prime factorization of 48552 and 48569. After we will calculate the factors of 48552 and 48569 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 48569

Prime factors of 48569 are 17, 2857. Prime factorization of 48569 in exponential form is:

48569 = 17¹ × 2857¹

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 48569

List of positive integer factors of 48569 that divides 48552 without a remainder.

1, 17, 2857

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48552 and 48569. The biggest common factor number is the GCF number.
So the greatest common factor 48552 and 48569 is 17.

Also check out the Least Common Multiple of 48552 and 48569