What is the Greatest Common Factor of 10074 and 10084?

Greatest common factor (GCF) of 10074 and 10084 is 2.

GCF(10074,10084) = 2

We will now calculate the prime factors of 10074 and 10084, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10074 and 10084.

How to find the GCF of 10074 and 10084?

We will first find the prime factorization of 10074 and 10084. After we will calculate the factors of 10074 and 10084 and find the biggest common factor number .

Step-1: Prime Factorization of 10074

Prime factors of 10074 are 2, 3, 23, 73. Prime factorization of 10074 in exponential form is:

10074 = 2¹ × 3¹ × 23¹ × 73¹

Step-2: Prime Factorization of 10084

Prime factors of 10084 are 2, 2521. Prime factorization of 10084 in exponential form is:

10084 = 2² × 2521¹

Step-3: Factors of 10074

List of positive integer factors of 10074 that divides 10074 without a remainder.

1, 2, 3, 6, 23, 46, 69, 73, 138, 146, 219, 438, 1679, 3358, 5037

Step-4: Factors of 10084

List of positive integer factors of 10084 that divides 10074 without a remainder.

1, 2, 4, 2521, 5042

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10074 and 10084. The biggest common factor number is the GCF number.
So the greatest common factor 10074 and 10084 is 2.

Also check out the Least Common Multiple of 10074 and 10084