What is the Greatest Common Factor of 80874 and 80890?

Greatest common factor (GCF) of 80874 and 80890 is 2.

GCF(80874,80890) = 2

We will now calculate the prime factors of 80874 and 80890, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80874 and 80890.

How to find the GCF of 80874 and 80890?

We will first find the prime factorization of 80874 and 80890. After we will calculate the factors of 80874 and 80890 and find the biggest common factor number .

Step-1: Prime Factorization of 80874

Prime factors of 80874 are 2, 3, 4493. Prime factorization of 80874 in exponential form is:

80874 = 2¹ × 3² × 4493¹

Step-2: Prime Factorization of 80890

Prime factors of 80890 are 2, 5, 8089. Prime factorization of 80890 in exponential form is:

80890 = 2¹ × 5¹ × 8089¹

Step-3: Factors of 80874

List of positive integer factors of 80874 that divides 80874 without a remainder.

1, 2, 3, 6, 9, 18, 4493, 8986, 13479, 26958, 40437

Step-4: Factors of 80890

List of positive integer factors of 80890 that divides 80874 without a remainder.

1, 2, 5, 10, 8089, 16178, 40445

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80874 and 80890. The biggest common factor number is the GCF number.
So the greatest common factor 80874 and 80890 is 2.

Also check out the Least Common Multiple of 80874 and 80890