What is the Greatest Common Factor of 48374 and 48382?

Greatest common factor (GCF) of 48374 and 48382 is 2.

GCF(48374,48382) = 2

We will now calculate the prime factors of 48374 and 48382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48374 and 48382.

How to find the GCF of 48374 and 48382?

We will first find the prime factorization of 48374 and 48382. After we will calculate the factors of 48374 and 48382 and find the biggest common factor number .

Step-1: Prime Factorization of 48374

Prime factors of 48374 are 2, 19, 67. Prime factorization of 48374 in exponential form is:

48374 = 2¹ × 19² × 67¹

Step-2: Prime Factorization of 48382

Prime factors of 48382 are 2, 17, 1423. Prime factorization of 48382 in exponential form is:

48382 = 2¹ × 17¹ × 1423¹

Step-3: Factors of 48374

List of positive integer factors of 48374 that divides 48374 without a remainder.

1, 2, 19, 38, 67, 134, 361, 722, 1273, 2546, 24187

Step-4: Factors of 48382

List of positive integer factors of 48382 that divides 48374 without a remainder.

1, 2, 17, 34, 1423, 2846, 24191

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48374 and 48382. The biggest common factor number is the GCF number.
So the greatest common factor 48374 and 48382 is 2.

Also check out the Least Common Multiple of 48374 and 48382