What is the Greatest Common Factor of 48336 and 48346?

Greatest common factor (GCF) of 48336 and 48346 is 2.

GCF(48336,48346) = 2

We will now calculate the prime factors of 48336 and 48346, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48336 and 48346.

How to find the GCF of 48336 and 48346?

We will first find the prime factorization of 48336 and 48346. After we will calculate the factors of 48336 and 48346 and find the biggest common factor number .

Step-1: Prime Factorization of 48336

Prime factors of 48336 are 2, 3, 19, 53. Prime factorization of 48336 in exponential form is:

48336 = 2⁴ × 3¹ × 19¹ × 53¹

Step-2: Prime Factorization of 48346

Prime factors of 48346 are 2, 23, 1051. Prime factorization of 48346 in exponential form is:

48346 = 2¹ × 23¹ × 1051¹

Step-3: Factors of 48336

List of positive integer factors of 48336 that divides 48336 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 53, 57, 76, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 636, 848, 912, 1007, 1272, 2014, 2544, 3021, 4028, 6042, 8056, 12084, 16112, 24168

Step-4: Factors of 48346

List of positive integer factors of 48346 that divides 48336 without a remainder.

1, 2, 23, 46, 1051, 2102, 24173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48336 and 48346. The biggest common factor number is the GCF number.
So the greatest common factor 48336 and 48346 is 2.

Also check out the Least Common Multiple of 48336 and 48346