What is the Greatest Common Factor of 28950 and 28967?

Greatest common factor (GCF) of 28950 and 28967 is 1.

GCF(28950,28967) = 1

We will now calculate the prime factors of 28950 and 28967, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28950 and 28967.

How to find the GCF of 28950 and 28967?

We will first find the prime factorization of 28950 and 28967. After we will calculate the factors of 28950 and 28967 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 28967

Prime factors of 28967 are 83, 349. Prime factorization of 28967 in exponential form is:

28967 = 83¹ × 349¹

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 28967

List of positive integer factors of 28967 that divides 28950 without a remainder.

1, 83, 349

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28950 and 28967. The biggest common factor number is the GCF number.
So the greatest common factor 28950 and 28967 is 1.

Also check out the Least Common Multiple of 28950 and 28967