What is the Greatest Common Factor of 8890 and 8895?

Greatest common factor (GCF) of 8890 and 8895 is 5.

GCF(8890,8895) = 5

We will now calculate the prime factors of 8890 and 8895, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8890 and 8895.

How to find the GCF of 8890 and 8895?

We will first find the prime factorization of 8890 and 8895. After we will calculate the factors of 8890 and 8895 and find the biggest common factor number .

Step-1: Prime Factorization of 8890

Prime factors of 8890 are 2, 5, 7, 127. Prime factorization of 8890 in exponential form is:

8890 = 2¹ × 5¹ × 7¹ × 127¹

Step-2: Prime Factorization of 8895

Prime factors of 8895 are 3, 5, 593. Prime factorization of 8895 in exponential form is:

8895 = 3¹ × 5¹ × 593¹

Step-3: Factors of 8890

List of positive integer factors of 8890 that divides 8890 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 127, 254, 635, 889, 1270, 1778, 4445

Step-4: Factors of 8895

List of positive integer factors of 8895 that divides 8890 without a remainder.

1, 3, 5, 15, 593, 1779, 2965

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8890 and 8895. The biggest common factor number is the GCF number.
So the greatest common factor 8890 and 8895 is 5.

Also check out the Least Common Multiple of 8890 and 8895