What is the Greatest Common Factor of 80870 and 80874?

Greatest common factor (GCF) of 80870 and 80874 is 2.

GCF(80870,80874) = 2

We will now calculate the prime factors of 80870 and 80874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 80870 and 80874.

How to find the GCF of 80870 and 80874?

We will first find the prime factorization of 80870 and 80874. After we will calculate the factors of 80870 and 80874 and find the biggest common factor number .

Step-1: Prime Factorization of 80870

Prime factors of 80870 are 2, 5, 8087. Prime factorization of 80870 in exponential form is:

80870 = 2¹ × 5¹ × 8087¹

Step-2: 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-3: Factors of 80870

List of positive integer factors of 80870 that divides 80870 without a remainder.

1, 2, 5, 10, 8087, 16174, 40435

Step-4: Factors of 80874

List of positive integer factors of 80874 that divides 80870 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 80870 and 80874. The biggest common factor number is the GCF number.
So the greatest common factor 80870 and 80874 is 2.

Also check out the Least Common Multiple of 80870 and 80874