What is the Greatest Common Factor of 28950 and 28958?

Greatest common factor (GCF) of 28950 and 28958 is 2.

GCF(28950,28958) = 2

We will now calculate the prime factors of 28950 and 28958, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28950 and 28958.

How to find the GCF of 28950 and 28958?

We will first find the prime factorization of 28950 and 28958. After we will calculate the factors of 28950 and 28958 and find the biggest common factor number .

Step-1: Prime Factorization of 28950

Prime factors of 28950 are 2, 3, 5, 193. Prime factorization of 28950 in exponential form is:

28950 = 2¹ × 3¹ × 5² × 193¹

Step-2: Prime Factorization of 28958

Prime factors of 28958 are 2, 14479. Prime factorization of 28958 in exponential form is:

28958 = 2¹ × 14479¹

Step-3: Factors of 28950

List of positive integer factors of 28950 that divides 28950 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 193, 386, 579, 965, 1158, 1930, 2895, 4825, 5790, 9650, 14475

Step-4: Factors of 28958

List of positive integer factors of 28958 that divides 28950 without a remainder.

1, 2, 14479

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28950 and 28958. The biggest common factor number is the GCF number.
So the greatest common factor 28950 and 28958 is 2.

Also check out the Least Common Multiple of 28950 and 28958