What is the Greatest Common Factor of 20074 and 20082?

Greatest common factor (GCF) of 20074 and 20082 is 2.

GCF(20074,20082) = 2

We will now calculate the prime factors of 20074 and 20082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20074 and 20082.

How to find the GCF of 20074 and 20082?

We will first find the prime factorization of 20074 and 20082. After we will calculate the factors of 20074 and 20082 and find the biggest common factor number .

Step-1: Prime Factorization of 20074

Prime factors of 20074 are 2, 10037. Prime factorization of 20074 in exponential form is:

20074 = 2¹ × 10037¹

Step-2: Prime Factorization of 20082

Prime factors of 20082 are 2, 3, 3347. Prime factorization of 20082 in exponential form is:

20082 = 2¹ × 3¹ × 3347¹

Step-3: Factors of 20074

List of positive integer factors of 20074 that divides 20074 without a remainder.

1, 2, 10037

Step-4: Factors of 20082

List of positive integer factors of 20082 that divides 20074 without a remainder.

1, 2, 3, 6, 3347, 6694, 10041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20074 and 20082. The biggest common factor number is the GCF number.
So the greatest common factor 20074 and 20082 is 2.

Also check out the Least Common Multiple of 20074 and 20082