What is the Greatest Common Factor of 48329 and 48336?

Greatest common factor (GCF) of 48329 and 48336 is 1.

GCF(48329,48336) = 1

We will now calculate the prime factors of 48329 and 48336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48329 and 48336.

How to find the GCF of 48329 and 48336?

We will first find the prime factorization of 48329 and 48336. After we will calculate the factors of 48329 and 48336 and find the biggest common factor number .

Step-1: Prime Factorization of 48329

Prime factors of 48329 are 31, 1559. Prime factorization of 48329 in exponential form is:

48329 = 31¹ × 1559¹

Step-2: 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-3: Factors of 48329

List of positive integer factors of 48329 that divides 48329 without a remainder.

1, 31, 1559

Step-4: Factors of 48336

List of positive integer factors of 48336 that divides 48329 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48329 and 48336. The biggest common factor number is the GCF number.
So the greatest common factor 48329 and 48336 is 1.

Also check out the Least Common Multiple of 48329 and 48336