What is the Greatest Common Factor of 28874 and 28886?

Greatest common factor (GCF) of 28874 and 28886 is 2.

GCF(28874,28886) = 2

We will now calculate the prime factors of 28874 and 28886, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28874 and 28886.

How to find the GCF of 28874 and 28886?

We will first find the prime factorization of 28874 and 28886. After we will calculate the factors of 28874 and 28886 and find the biggest common factor number .

Step-1: Prime Factorization of 28874

Prime factors of 28874 are 2, 14437. Prime factorization of 28874 in exponential form is:

28874 = 2¹ × 14437¹

Step-2: Prime Factorization of 28886

Prime factors of 28886 are 2, 11, 13, 101. Prime factorization of 28886 in exponential form is:

28886 = 2¹ × 11¹ × 13¹ × 101¹

Step-3: Factors of 28874

List of positive integer factors of 28874 that divides 28874 without a remainder.

1, 2, 14437

Step-4: Factors of 28886

List of positive integer factors of 28886 that divides 28874 without a remainder.

1, 2, 11, 13, 22, 26, 101, 143, 202, 286, 1111, 1313, 2222, 2626, 14443

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28874 and 28886. The biggest common factor number is the GCF number.
So the greatest common factor 28874 and 28886 is 2.

Also check out the Least Common Multiple of 28874 and 28886