What is the Greatest Common Factor of 46844 and 46848?

Greatest common factor (GCF) of 46844 and 46848 is 4.

GCF(46844,46848) = 4

We will now calculate the prime factors of 46844 and 46848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 46844 and 46848.

How to find the GCF of 46844 and 46848?

We will first find the prime factorization of 46844 and 46848. After we will calculate the factors of 46844 and 46848 and find the biggest common factor number .

Step-1: Prime Factorization of 46844

Prime factors of 46844 are 2, 7, 239. Prime factorization of 46844 in exponential form is:

46844 = 2² × 7² × 239¹

Step-2: 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-3: Factors of 46844

List of positive integer factors of 46844 that divides 46844 without a remainder.

1, 2, 4, 7, 14, 28, 49, 98, 196, 239, 478, 956, 1673, 3346, 6692, 11711, 23422

Step-4: Factors of 46848

List of positive integer factors of 46848 that divides 46844 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 46844 and 46848. The biggest common factor number is the GCF number.
So the greatest common factor 46844 and 46848 is 4.

Also check out the Least Common Multiple of 46844 and 46848