What is the Greatest Common Factor of 20072 and 20078?

Greatest common factor (GCF) of 20072 and 20078 is 2.

GCF(20072,20078) = 2

We will now calculate the prime factors of 20072 and 20078, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20072 and 20078.

How to find the GCF of 20072 and 20078?

We will first find the prime factorization of 20072 and 20078. After we will calculate the factors of 20072 and 20078 and find the biggest common factor number .

Step-1: Prime Factorization of 20072

Prime factors of 20072 are 2, 13, 193. Prime factorization of 20072 in exponential form is:

20072 = 2³ × 13¹ × 193¹

Step-2: Prime Factorization of 20078

Prime factors of 20078 are 2, 10039. Prime factorization of 20078 in exponential form is:

20078 = 2¹ × 10039¹

Step-3: Factors of 20072

List of positive integer factors of 20072 that divides 20072 without a remainder.

1, 2, 4, 8, 13, 26, 52, 104, 193, 386, 772, 1544, 2509, 5018, 10036

Step-4: Factors of 20078

List of positive integer factors of 20078 that divides 20072 without a remainder.

1, 2, 10039

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20072 and 20078. The biggest common factor number is the GCF number.
So the greatest common factor 20072 and 20078 is 2.

Also check out the Least Common Multiple of 20072 and 20078