What is the Greatest Common Factor of 48328 and 48342?

Greatest common factor (GCF) of 48328 and 48342 is 14.

GCF(48328,48342) = 14

We will now calculate the prime factors of 48328 and 48342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48328 and 48342.

How to find the GCF of 48328 and 48342?

We will first find the prime factorization of 48328 and 48342. After we will calculate the factors of 48328 and 48342 and find the biggest common factor number .

Step-1: Prime Factorization of 48328

Prime factors of 48328 are 2, 7, 863. Prime factorization of 48328 in exponential form is:

48328 = 2³ × 7¹ × 863¹

Step-2: Prime Factorization of 48342

Prime factors of 48342 are 2, 3, 7, 1151. Prime factorization of 48342 in exponential form is:

48342 = 2¹ × 3¹ × 7¹ × 1151¹

Step-3: Factors of 48328

List of positive integer factors of 48328 that divides 48328 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56, 863, 1726, 3452, 6041, 6904, 12082, 24164

Step-4: Factors of 48342

List of positive integer factors of 48342 that divides 48328 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 1151, 2302, 3453, 6906, 8057, 16114, 24171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48328 and 48342. The biggest common factor number is the GCF number.
So the greatest common factor 48328 and 48342 is 14.

Also check out the Least Common Multiple of 48328 and 48342