What is the Greatest Common Factor of 28968 and 28987?

Greatest common factor (GCF) of 28968 and 28987 is 1.

GCF(28968,28987) = 1

We will now calculate the prime factors of 28968 and 28987, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28968 and 28987.

How to find the GCF of 28968 and 28987?

We will first find the prime factorization of 28968 and 28987. After we will calculate the factors of 28968 and 28987 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28987

Prime factors of 28987 are 7, 41, 101. Prime factorization of 28987 in exponential form is:

28987 = 7¹ × 41¹ × 101¹

Step-3: Factors of 28968

List of positive integer factors of 28968 that divides 28968 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

Step-4: Factors of 28987

List of positive integer factors of 28987 that divides 28968 without a remainder.

1, 7, 41, 101, 287, 707, 4141

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28968 and 28987. The biggest common factor number is the GCF number.
So the greatest common factor 28968 and 28987 is 1.

Also check out the Least Common Multiple of 28968 and 28987