What is the Greatest Common Factor of 28960 and 28972?

Greatest common factor (GCF) of 28960 and 28972 is 4.

GCF(28960,28972) = 4

We will now calculate the prime factors of 28960 and 28972, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28960 and 28972.

How to find the GCF of 28960 and 28972?

We will first find the prime factorization of 28960 and 28972. After we will calculate the factors of 28960 and 28972 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28972

Prime factors of 28972 are 2, 7243. Prime factorization of 28972 in exponential form is:

28972 = 2² × 7243¹

Step-3: Factors of 28960

List of positive integer factors of 28960 that divides 28960 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

Step-4: Factors of 28972

List of positive integer factors of 28972 that divides 28960 without a remainder.

1, 2, 4, 7243, 14486

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28960 and 28972. The biggest common factor number is the GCF number.
So the greatest common factor 28960 and 28972 is 4.

Also check out the Least Common Multiple of 28960 and 28972