What is the Greatest Common Factor of 28944 and 28962?

Greatest common factor (GCF) of 28944 and 28962 is 18.

GCF(28944,28962) = 18

We will now calculate the prime factors of 28944 and 28962, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28944 and 28962.

How to find the GCF of 28944 and 28962?

We will first find the prime factorization of 28944 and 28962. After we will calculate the factors of 28944 and 28962 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 28962

Prime factors of 28962 are 2, 3, 1609. Prime factorization of 28962 in exponential form is:

28962 = 2¹ × 3² × 1609¹

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 28962

List of positive integer factors of 28962 that divides 28944 without a remainder.

1, 2, 3, 6, 9, 18, 1609, 3218, 4827, 9654, 14481

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28944 and 28962. The biggest common factor number is the GCF number.
So the greatest common factor 28944 and 28962 is 18.

Also check out the Least Common Multiple of 28944 and 28962