What is the Greatest Common Factor of 48342 and 48350?

Greatest common factor (GCF) of 48342 and 48350 is 2.

GCF(48342,48350) = 2

We will now calculate the prime factors of 48342 and 48350, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48342 and 48350.

How to find the GCF of 48342 and 48350?

We will first find the prime factorization of 48342 and 48350. After we will calculate the factors of 48342 and 48350 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 48350

Prime factors of 48350 are 2, 5, 967. Prime factorization of 48350 in exponential form is:

48350 = 2¹ × 5² × 967¹

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 48350

List of positive integer factors of 48350 that divides 48342 without a remainder.

1, 2, 5, 10, 25, 50, 967, 1934, 4835, 9670, 24175

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48342 and 48350. The biggest common factor number is the GCF number.
So the greatest common factor 48342 and 48350 is 2.

Also check out the Least Common Multiple of 48342 and 48350