What is the Greatest Common Factor of 28886 and 28897?

Greatest common factor (GCF) of 28886 and 28897 is 11.

GCF(28886,28897) = 11

We will now calculate the prime factors of 28886 and 28897, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28886 and 28897.

How to find the GCF of 28886 and 28897?

We will first find the prime factorization of 28886 and 28897. After we will calculate the factors of 28886 and 28897 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 28897

Prime factors of 28897 are 11, 37, 71. Prime factorization of 28897 in exponential form is:

28897 = 11¹ × 37¹ × 71¹

Step-3: Factors of 28886

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

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

Step-4: Factors of 28897

List of positive integer factors of 28897 that divides 28886 without a remainder.

1, 11, 37, 71, 407, 781, 2627

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28886 and 28897. The biggest common factor number is the GCF number.
So the greatest common factor 28886 and 28897 is 11.

Also check out the Least Common Multiple of 28886 and 28897