What is the Greatest Common Factor of 48552 and 48566?

Greatest common factor (GCF) of 48552 and 48566 is 14.

GCF(48552,48566) = 14

We will now calculate the prime factors of 48552 and 48566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48552 and 48566.

How to find the GCF of 48552 and 48566?

We will first find the prime factorization of 48552 and 48566. After we will calculate the factors of 48552 and 48566 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 48566

Prime factors of 48566 are 2, 7, 3469. Prime factorization of 48566 in exponential form is:

48566 = 2¹ × 7¹ × 3469¹

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 48566

List of positive integer factors of 48566 that divides 48552 without a remainder.

1, 2, 7, 14, 3469, 6938, 24283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48552 and 48566. The biggest common factor number is the GCF number.
So the greatest common factor 48552 and 48566 is 14.

Also check out the Least Common Multiple of 48552 and 48566