What is the Greatest Common Factor of 48951 and 48958?

Greatest common factor (GCF) of 48951 and 48958 is 7.

GCF(48951,48958) = 7

We will now calculate the prime factors of 48951 and 48958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48951 and 48958.

How to find the GCF of 48951 and 48958?

We will first find the prime factorization of 48951 and 48958. After we will calculate the factors of 48951 and 48958 and find the biggest common factor number .

Step-1: Prime Factorization of 48951

Prime factors of 48951 are 3, 7, 37. Prime factorization of 48951 in exponential form is:

48951 = 3³ × 7² × 37¹

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 48951

List of positive integer factors of 48951 that divides 48951 without a remainder.

1, 3, 7, 9, 21, 27, 37, 49, 63, 111, 147, 189, 259, 333, 441, 777, 999, 1323, 1813, 2331, 5439, 6993, 16317

Step-4: Factors of 48958

List of positive integer factors of 48958 that divides 48951 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 48951 and 48958. The biggest common factor number is the GCF number.
So the greatest common factor 48951 and 48958 is 7.

Also check out the Least Common Multiple of 48951 and 48958