What is the Greatest Common Factor of 48946 and 48958?

Greatest common factor (GCF) of 48946 and 48958 is 2.

GCF(48946,48958) = 2

We will now calculate the prime factors of 48946 and 48958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48946 and 48958.

How to find the GCF of 48946 and 48958?

We will first find the prime factorization of 48946 and 48958. After we will calculate the factors of 48946 and 48958 and find the biggest common factor number .

Step-1: Prime Factorization of 48946

Prime factors of 48946 are 2, 24473. Prime factorization of 48946 in exponential form is:

48946 = 2¹ × 24473¹

Step-2: Prime Factorization of 48958

Prime factors of 48958 are 2, 7, 13, 269. Prime factorization of 48958 in exponential form is:

48958 = 2¹ × 7¹ × 13¹ × 269¹

Step-3: Factors of 48946

List of positive integer factors of 48946 that divides 48946 without a remainder.

1, 2, 24473

Step-4: Factors of 48958

List of positive integer factors of 48958 that divides 48946 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 269, 538, 1883, 3497, 3766, 6994, 24479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48946 and 48958. The biggest common factor number is the GCF number.
So the greatest common factor 48946 and 48958 is 2.

Also check out the Least Common Multiple of 48946 and 48958