What is the Greatest Common Factor of 20074 and 20080?

Greatest common factor (GCF) of 20074 and 20080 is 2.

GCF(20074,20080) = 2

We will now calculate the prime factors of 20074 and 20080, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20074 and 20080.

How to find the GCF of 20074 and 20080?

We will first find the prime factorization of 20074 and 20080. After we will calculate the factors of 20074 and 20080 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 20080

Prime factors of 20080 are 2, 5, 251. Prime factorization of 20080 in exponential form is:

20080 = 2⁴ × 5¹ × 251¹

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 20080

List of positive integer factors of 20080 that divides 20074 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 251, 502, 1004, 1255, 2008, 2510, 4016, 5020, 10040

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20074 and 20080. The biggest common factor number is the GCF number.
So the greatest common factor 20074 and 20080 is 2.

Also check out the Least Common Multiple of 20074 and 20080