What is the Greatest Common Factor of 86890 and 86908?

Greatest common factor (GCF) of 86890 and 86908 is 2.

GCF(86890,86908) = 2

We will now calculate the prime factors of 86890 and 86908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 86890 and 86908.

How to find the GCF of 86890 and 86908?

We will first find the prime factorization of 86890 and 86908. After we will calculate the factors of 86890 and 86908 and find the biggest common factor number .

Step-1: Prime Factorization of 86890

Prime factors of 86890 are 2, 5, 8689. Prime factorization of 86890 in exponential form is:

86890 = 2¹ × 5¹ × 8689¹

Step-2: Prime Factorization of 86908

Prime factors of 86908 are 2, 21727. Prime factorization of 86908 in exponential form is:

86908 = 2² × 21727¹

Step-3: Factors of 86890

List of positive integer factors of 86890 that divides 86890 without a remainder.

1, 2, 5, 10, 8689, 17378, 43445

Step-4: Factors of 86908

List of positive integer factors of 86908 that divides 86890 without a remainder.

1, 2, 4, 21727, 43454

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 86890 and 86908. The biggest common factor number is the GCF number.
So the greatest common factor 86890 and 86908 is 2.

Also check out the Least Common Multiple of 86890 and 86908