What is the Greatest Common Factor of 28946 and 28961?

Greatest common factor (GCF) of 28946 and 28961 is 1.

GCF(28946,28961) = 1

We will now calculate the prime factors of 28946 and 28961, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28946 and 28961.

How to find the GCF of 28946 and 28961?

We will first find the prime factorization of 28946 and 28961. After we will calculate the factors of 28946 and 28961 and find the biggest common factor number .

Step-1: Prime Factorization of 28946

Prime factors of 28946 are 2, 41, 353. Prime factorization of 28946 in exponential form is:

28946 = 2¹ × 41¹ × 353¹

Step-2: Prime Factorization of 28961

Prime factors of 28961 are 28961. Prime factorization of 28961 in exponential form is:

28961 = 28961¹

Step-3: Factors of 28946

List of positive integer factors of 28946 that divides 28946 without a remainder.

1, 2, 41, 82, 353, 706, 14473

Step-4: Factors of 28961

List of positive integer factors of 28961 that divides 28946 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28946 and 28961. The biggest common factor number is the GCF number.
So the greatest common factor 28946 and 28961 is 1.

Also check out the Least Common Multiple of 28946 and 28961