What is the Greatest Common Factor of 48852 and 48864?

Greatest common factor (GCF) of 48852 and 48864 is 12.

GCF(48852,48864) = 12

We will now calculate the prime factors of 48852 and 48864, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48852 and 48864.

How to find the GCF of 48852 and 48864?

We will first find the prime factorization of 48852 and 48864. After we will calculate the factors of 48852 and 48864 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 48864

Prime factors of 48864 are 2, 3, 509. Prime factorization of 48864 in exponential form is:

48864 = 2⁵ × 3¹ × 509¹

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 48864

List of positive integer factors of 48864 that divides 48852 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 509, 1018, 1527, 2036, 3054, 4072, 6108, 8144, 12216, 16288, 24432

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48852 and 48864. The biggest common factor number is the GCF number.
So the greatest common factor 48852 and 48864 is 12.

Also check out the Least Common Multiple of 48852 and 48864