What is the Greatest Common Factor of 28954 and 28968?

Greatest common factor (GCF) of 28954 and 28968 is 2.

GCF(28954,28968) = 2

We will now calculate the prime factors of 28954 and 28968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28954 and 28968.

How to find the GCF of 28954 and 28968?

We will first find the prime factorization of 28954 and 28968. After we will calculate the factors of 28954 and 28968 and find the biggest common factor number .

Step-1: Prime Factorization of 28954

Prime factors of 28954 are 2, 31, 467. Prime factorization of 28954 in exponential form is:

28954 = 2¹ × 31¹ × 467¹

Step-2: Prime Factorization of 28968

Prime factors of 28968 are 2, 3, 17, 71. Prime factorization of 28968 in exponential form is:

28968 = 2³ × 3¹ × 17¹ × 71¹

Step-3: Factors of 28954

List of positive integer factors of 28954 that divides 28954 without a remainder.

1, 2, 31, 62, 467, 934, 14477

Step-4: Factors of 28968

List of positive integer factors of 28968 that divides 28954 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 71, 102, 136, 142, 204, 213, 284, 408, 426, 568, 852, 1207, 1704, 2414, 3621, 4828, 7242, 9656, 14484

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28954 and 28968. The biggest common factor number is the GCF number.
So the greatest common factor 28954 and 28968 is 2.

Also check out the Least Common Multiple of 28954 and 28968