What is the Greatest Common Factor of 28861 and 28868?

Greatest common factor (GCF) of 28861 and 28868 is 7.

GCF(28861,28868) = 7

We will now calculate the prime factors of 28861 and 28868, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 28861 and 28868.

How to find the GCF of 28861 and 28868?

We will first find the prime factorization of 28861 and 28868. After we will calculate the factors of 28861 and 28868 and find the biggest common factor number .

Step-1: Prime Factorization of 28861

Prime factors of 28861 are 7, 19, 31. Prime factorization of 28861 in exponential form is:

28861 = 7² × 19¹ × 31¹

Step-2: Prime Factorization of 28868

Prime factors of 28868 are 2, 7, 1031. Prime factorization of 28868 in exponential form is:

28868 = 2² × 7¹ × 1031¹

Step-3: Factors of 28861

List of positive integer factors of 28861 that divides 28861 without a remainder.

1, 7, 19, 31, 49, 133, 217, 589, 931, 1519, 4123

Step-4: Factors of 28868

List of positive integer factors of 28868 that divides 28861 without a remainder.

1, 2, 4, 7, 14, 28, 1031, 2062, 4124, 7217, 14434

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 28861 and 28868. The biggest common factor number is the GCF number.
So the greatest common factor 28861 and 28868 is 7.

Also check out the Least Common Multiple of 28861 and 28868