What is the Greatest Common Factor of 20054 and 20074?

Greatest common factor (GCF) of 20054 and 20074 is 2.

GCF(20054,20074) = 2

We will now calculate the prime factors of 20054 and 20074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20054 and 20074.

How to find the GCF of 20054 and 20074?

We will first find the prime factorization of 20054 and 20074. After we will calculate the factors of 20054 and 20074 and find the biggest common factor number .

Step-1: Prime Factorization of 20054

Prime factors of 20054 are 2, 37, 271. Prime factorization of 20054 in exponential form is:

20054 = 2¹ × 37¹ × 271¹

Step-2: Prime Factorization of 20074

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

20074 = 2¹ × 10037¹

Step-3: Factors of 20054

List of positive integer factors of 20054 that divides 20054 without a remainder.

1, 2, 37, 74, 271, 542, 10027

Step-4: Factors of 20074

List of positive integer factors of 20074 that divides 20054 without a remainder.

1, 2, 10037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20054 and 20074. The biggest common factor number is the GCF number.
So the greatest common factor 20054 and 20074 is 2.

Also check out the Least Common Multiple of 20054 and 20074