What is the Greatest Common Factor of 20072 and 20088?

Greatest common factor (GCF) of 20072 and 20088 is 8.

GCF(20072,20088) = 8

We will now calculate the prime factors of 20072 and 20088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20072 and 20088.

How to find the GCF of 20072 and 20088?

We will first find the prime factorization of 20072 and 20088. After we will calculate the factors of 20072 and 20088 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 20088

Prime factors of 20088 are 2, 3, 31. Prime factorization of 20088 in exponential form is:

20088 = 2³ × 3⁴ × 31¹

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 20088

List of positive integer factors of 20088 that divides 20072 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 248, 279, 324, 372, 558, 648, 744, 837, 1116, 1674, 2232, 2511, 3348, 5022, 6696, 10044

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20072 and 20088. The biggest common factor number is the GCF number.
So the greatest common factor 20072 and 20088 is 8.

Also check out the Least Common Multiple of 20072 and 20088