What is the Greatest Common Factor of 48538 and 48552?

Greatest common factor (GCF) of 48538 and 48552 is 14.

GCF(48538,48552) = 14

We will now calculate the prime factors of 48538 and 48552, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48538 and 48552.

How to find the GCF of 48538 and 48552?

We will first find the prime factorization of 48538 and 48552. After we will calculate the factors of 48538 and 48552 and find the biggest common factor number .

Step-1: Prime Factorization of 48538

Prime factors of 48538 are 2, 7, 3467. Prime factorization of 48538 in exponential form is:

48538 = 2¹ × 7¹ × 3467¹

Step-2: 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-3: Factors of 48538

List of positive integer factors of 48538 that divides 48538 without a remainder.

1, 2, 7, 14, 3467, 6934, 24269

Step-4: Factors of 48552

List of positive integer factors of 48552 that divides 48538 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48538 and 48552. The biggest common factor number is the GCF number.
So the greatest common factor 48538 and 48552 is 14.

Also check out the Least Common Multiple of 48538 and 48552