What is the Greatest Common Factor of 28948 and 28960?

Greatest common factor (GCF) of 28948 and 28960 is 4.

GCF(28948,28960) = 4

We will now calculate the prime factors of 28948 and 28960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28948 and 28960.

How to find the GCF of 28948 and 28960?

We will first find the prime factorization of 28948 and 28960. After we will calculate the factors of 28948 and 28960 and find the biggest common factor number .

Step-1: Prime Factorization of 28948

Prime factors of 28948 are 2, 7237. Prime factorization of 28948 in exponential form is:

28948 = 2² × 7237¹

Step-2: Prime Factorization of 28960

Prime factors of 28960 are 2, 5, 181. Prime factorization of 28960 in exponential form is:

28960 = 2⁵ × 5¹ × 181¹

Step-3: Factors of 28948

List of positive integer factors of 28948 that divides 28948 without a remainder.

1, 2, 4, 7237, 14474

Step-4: Factors of 28960

List of positive integer factors of 28960 that divides 28948 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 181, 362, 724, 905, 1448, 1810, 2896, 3620, 5792, 7240, 14480

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28948 and 28960. The biggest common factor number is the GCF number.
So the greatest common factor 28948 and 28960 is 4.

Also check out the Least Common Multiple of 28948 and 28960