What is the Greatest Common Factor of 28944 and 28963?

Greatest common factor (GCF) of 28944 and 28963 is 1.

GCF(28944,28963) = 1

We will now calculate the prime factors of 28944 and 28963, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28944 and 28963.

How to find the GCF of 28944 and 28963?

We will first find the prime factorization of 28944 and 28963. After we will calculate the factors of 28944 and 28963 and find the biggest common factor number .

Step-1: Prime Factorization of 28944

Prime factors of 28944 are 2, 3, 67. Prime factorization of 28944 in exponential form is:

28944 = 2⁴ × 3³ × 67¹

Step-2: Prime Factorization of 28963

Prime factors of 28963 are 11, 2633. Prime factorization of 28963 in exponential form is:

28963 = 11¹ × 2633¹

Step-3: Factors of 28944

List of positive integer factors of 28944 that divides 28944 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 67, 72, 108, 134, 144, 201, 216, 268, 402, 432, 536, 603, 804, 1072, 1206, 1608, 1809, 2412, 3216, 3618, 4824, 7236, 9648, 14472

Step-4: Factors of 28963

List of positive integer factors of 28963 that divides 28944 without a remainder.

1, 11, 2633

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28944 and 28963. The biggest common factor number is the GCF number.
So the greatest common factor 28944 and 28963 is 1.

Also check out the Least Common Multiple of 28944 and 28963