What is the Greatest Common Factor of 28672 and 28692?

Greatest common factor (GCF) of 28672 and 28692 is 4.

GCF(28672,28692) = 4

We will now calculate the prime factors of 28672 and 28692, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28672 and 28692.

How to find the GCF of 28672 and 28692?

We will first find the prime factorization of 28672 and 28692. After we will calculate the factors of 28672 and 28692 and find the biggest common factor number .

Step-1: Prime Factorization of 28672

Prime factors of 28672 are 2, 7. Prime factorization of 28672 in exponential form is:

28672 = 2¹² × 7¹

Step-2: Prime Factorization of 28692

Prime factors of 28692 are 2, 3, 797. Prime factorization of 28692 in exponential form is:

28692 = 2² × 3² × 797¹

Step-3: Factors of 28672

List of positive integer factors of 28672 that divides 28672 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1024, 1792, 2048, 3584, 4096, 7168, 14336

Step-4: Factors of 28692

List of positive integer factors of 28692 that divides 28672 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 797, 1594, 2391, 3188, 4782, 7173, 9564, 14346

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28672 and 28692. The biggest common factor number is the GCF number.
So the greatest common factor 28672 and 28692 is 4.

Also check out the Least Common Multiple of 28672 and 28692