What is the Greatest Common Factor of 28912 and 28932?

Greatest common factor (GCF) of 28912 and 28932 is 4.

GCF(28912,28932) = 4

We will now calculate the prime factors of 28912 and 28932, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28912 and 28932.

How to find the GCF of 28912 and 28932?

We will first find the prime factorization of 28912 and 28932. After we will calculate the factors of 28912 and 28932 and find the biggest common factor number .

Step-1: Prime Factorization of 28912

Prime factors of 28912 are 2, 13, 139. Prime factorization of 28912 in exponential form is:

28912 = 2⁴ × 13¹ × 139¹

Step-2: Prime Factorization of 28932

Prime factors of 28932 are 2, 3, 2411. Prime factorization of 28932 in exponential form is:

28932 = 2² × 3¹ × 2411¹

Step-3: Factors of 28912

List of positive integer factors of 28912 that divides 28912 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 139, 208, 278, 556, 1112, 1807, 2224, 3614, 7228, 14456

Step-4: Factors of 28932

List of positive integer factors of 28932 that divides 28912 without a remainder.

1, 2, 3, 4, 6, 12, 2411, 4822, 7233, 9644, 14466

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28912 and 28932. The biggest common factor number is the GCF number.
So the greatest common factor 28912 and 28932 is 4.

Also check out the Least Common Multiple of 28912 and 28932