What is the Greatest Common Factor of 46848 and 46852?

Greatest common factor (GCF) of 46848 and 46852 is 4.

GCF(46848,46852) = 4

We will now calculate the prime factors of 46848 and 46852, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46848 and 46852.

How to find the GCF of 46848 and 46852?

We will first find the prime factorization of 46848 and 46852. After we will calculate the factors of 46848 and 46852 and find the biggest common factor number .

Step-1: Prime Factorization of 46848

Prime factors of 46848 are 2, 3, 61. Prime factorization of 46848 in exponential form is:

46848 = 2⁸ × 3¹ × 61¹

Step-2: Prime Factorization of 46852

Prime factors of 46852 are 2, 13, 17, 53. Prime factorization of 46852 in exponential form is:

46852 = 2² × 13¹ × 17¹ × 53¹

Step-3: Factors of 46848

List of positive integer factors of 46848 that divides 46848 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 61, 64, 96, 122, 128, 183, 192, 244, 256, 366, 384, 488, 732, 768, 976, 1464, 1952, 2928, 3904, 5856, 7808, 11712, 15616, 23424

Step-4: Factors of 46852

List of positive integer factors of 46852 that divides 46848 without a remainder.

1, 2, 4, 13, 17, 26, 34, 52, 53, 68, 106, 212, 221, 442, 689, 884, 901, 1378, 1802, 2756, 3604, 11713, 23426

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46848 and 46852. The biggest common factor number is the GCF number.
So the greatest common factor 46848 and 46852 is 4.

Also check out the Least Common Multiple of 46848 and 46852