What is the Greatest Common Factor of 28936 and 28949?

Greatest common factor (GCF) of 28936 and 28949 is 1.

GCF(28936,28949) = 1

We will now calculate the prime factors of 28936 and 28949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28936 and 28949.

How to find the GCF of 28936 and 28949?

We will first find the prime factorization of 28936 and 28949. After we will calculate the factors of 28936 and 28949 and find the biggest common factor number .

Step-1: Prime Factorization of 28936

Prime factors of 28936 are 2, 3617. Prime factorization of 28936 in exponential form is:

28936 = 2³ × 3617¹

Step-2: Prime Factorization of 28949

Prime factors of 28949 are 28949. Prime factorization of 28949 in exponential form is:

28949 = 28949¹

Step-3: Factors of 28936

List of positive integer factors of 28936 that divides 28936 without a remainder.

1, 2, 4, 8, 3617, 7234, 14468

Step-4: Factors of 28949

List of positive integer factors of 28949 that divides 28936 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28936 and 28949. The biggest common factor number is the GCF number.
So the greatest common factor 28936 and 28949 is 1.

Also check out the Least Common Multiple of 28936 and 28949