What is the Greatest Common Factor of 28933 and 28952?

Greatest common factor (GCF) of 28933 and 28952 is 1.

GCF(28933,28952) = 1

We will now calculate the prime factors of 28933 and 28952, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28933 and 28952.

How to find the GCF of 28933 and 28952?

We will first find the prime factorization of 28933 and 28952. After we will calculate the factors of 28933 and 28952 and find the biggest common factor number .

Step-1: Prime Factorization of 28933

Prime factors of 28933 are 28933. Prime factorization of 28933 in exponential form is:

28933 = 28933¹

Step-2: Prime Factorization of 28952

Prime factors of 28952 are 2, 7, 11, 47. Prime factorization of 28952 in exponential form is:

28952 = 2³ × 7¹ × 11¹ × 47¹

Step-3: Factors of 28933

List of positive integer factors of 28933 that divides 28933 without a remainder.

Step-4: Factors of 28952

List of positive integer factors of 28952 that divides 28933 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 47, 56, 77, 88, 94, 154, 188, 308, 329, 376, 517, 616, 658, 1034, 1316, 2068, 2632, 3619, 4136, 7238, 14476

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28933 and 28952. The biggest common factor number is the GCF number.
So the greatest common factor 28933 and 28952 is 1.

Also check out the Least Common Multiple of 28933 and 28952