What is the Greatest Common Factor of 28962 and 28971?

Greatest common factor (GCF) of 28962 and 28971 is 9.

GCF(28962,28971) = 9

We will now calculate the prime factors of 28962 and 28971, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28962 and 28971.

How to find the GCF of 28962 and 28971?

We will first find the prime factorization of 28962 and 28971. After we will calculate the factors of 28962 and 28971 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28971

Prime factors of 28971 are 3, 29, 37. Prime factorization of 28971 in exponential form is:

28971 = 3³ × 29¹ × 37¹

Step-3: Factors of 28962

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

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

Step-4: Factors of 28971

List of positive integer factors of 28971 that divides 28962 without a remainder.

1, 3, 9, 27, 29, 37, 87, 111, 261, 333, 783, 999, 1073, 3219, 9657

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28962 and 28971. The biggest common factor number is the GCF number.
So the greatest common factor 28962 and 28971 is 9.

Also check out the Least Common Multiple of 28962 and 28971