What is the Greatest Common Factor of 48852 and 48872?

Greatest common factor (GCF) of 48852 and 48872 is 4.

GCF(48852,48872) = 4

We will now calculate the prime factors of 48852 and 48872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48852 and 48872.

How to find the GCF of 48852 and 48872?

We will first find the prime factorization of 48852 and 48872. After we will calculate the factors of 48852 and 48872 and find the biggest common factor number .

Step-1: Prime Factorization of 48852

Prime factors of 48852 are 2, 3, 23, 59. Prime factorization of 48852 in exponential form is:

48852 = 2² × 3² × 23¹ × 59¹

Step-2: Prime Factorization of 48872

Prime factors of 48872 are 2, 41, 149. Prime factorization of 48872 in exponential form is:

48872 = 2³ × 41¹ × 149¹

Step-3: Factors of 48852

List of positive integer factors of 48852 that divides 48852 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 59, 69, 92, 118, 138, 177, 207, 236, 276, 354, 414, 531, 708, 828, 1062, 1357, 2124, 2714, 4071, 5428, 8142, 12213, 16284, 24426

Step-4: Factors of 48872

List of positive integer factors of 48872 that divides 48852 without a remainder.

1, 2, 4, 8, 41, 82, 149, 164, 298, 328, 596, 1192, 6109, 12218, 24436

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48852 and 48872. The biggest common factor number is the GCF number.
So the greatest common factor 48852 and 48872 is 4.

Also check out the Least Common Multiple of 48852 and 48872