What is the Greatest Common Factor of 48342 and 48348?

Greatest common factor (GCF) of 48342 and 48348 is 6.

GCF(48342,48348) = 6

We will now calculate the prime factors of 48342 and 48348, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48342 and 48348.

How to find the GCF of 48342 and 48348?

We will first find the prime factorization of 48342 and 48348. After we will calculate the factors of 48342 and 48348 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 48348

Prime factors of 48348 are 2, 3, 17, 79. Prime factorization of 48348 in exponential form is:

48348 = 2² × 3² × 17¹ × 79¹

Step-3: Factors of 48342

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

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

Step-4: Factors of 48348

List of positive integer factors of 48348 that divides 48342 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 79, 102, 153, 158, 204, 237, 306, 316, 474, 612, 711, 948, 1343, 1422, 2686, 2844, 4029, 5372, 8058, 12087, 16116, 24174

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48342 and 48348. The biggest common factor number is the GCF number.
So the greatest common factor 48342 and 48348 is 6.

Also check out the Least Common Multiple of 48342 and 48348