What is the Greatest Common Factor of 48342 and 48358?

Greatest common factor (GCF) of 48342 and 48358 is 2.

GCF(48342,48358) = 2

We will now calculate the prime factors of 48342 and 48358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48342 and 48358.

How to find the GCF of 48342 and 48358?

We will first find the prime factorization of 48342 and 48358. After we will calculate the factors of 48342 and 48358 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 48358

Prime factors of 48358 are 2, 24179. Prime factorization of 48358 in exponential form is:

48358 = 2¹ × 24179¹

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 48358

List of positive integer factors of 48358 that divides 48342 without a remainder.

1, 2, 24179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48342 and 48358. The biggest common factor number is the GCF number.
So the greatest common factor 48342 and 48358 is 2.

Also check out the Least Common Multiple of 48342 and 48358