What is the Greatest Common Factor of 28935 and 28942?

Greatest common factor (GCF) of 28935 and 28942 is 1.

GCF(28935,28942) = 1

We will now calculate the prime factors of 28935 and 28942, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28935 and 28942.

How to find the GCF of 28935 and 28942?

We will first find the prime factorization of 28935 and 28942. After we will calculate the factors of 28935 and 28942 and find the biggest common factor number .

Step-1: Prime Factorization of 28935

Prime factors of 28935 are 3, 5, 643. Prime factorization of 28935 in exponential form is:

28935 = 3² × 5¹ × 643¹

Step-2: Prime Factorization of 28942

Prime factors of 28942 are 2, 29, 499. Prime factorization of 28942 in exponential form is:

28942 = 2¹ × 29¹ × 499¹

Step-3: Factors of 28935

List of positive integer factors of 28935 that divides 28935 without a remainder.

1, 3, 5, 9, 15, 45, 643, 1929, 3215, 5787, 9645

Step-4: Factors of 28942

List of positive integer factors of 28942 that divides 28935 without a remainder.

1, 2, 29, 58, 499, 998, 14471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28935 and 28942. The biggest common factor number is the GCF number.
So the greatest common factor 28935 and 28942 is 1.

Also check out the Least Common Multiple of 28935 and 28942