What is the Greatest Common Factor of 20144 and 20152?

Greatest common factor (GCF) of 20144 and 20152 is 8.

GCF(20144,20152) = 8

We will now calculate the prime factors of 20144 and 20152, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20144 and 20152.

How to find the GCF of 20144 and 20152?

We will first find the prime factorization of 20144 and 20152. After we will calculate the factors of 20144 and 20152 and find the biggest common factor number .

Step-1: Prime Factorization of 20144

Prime factors of 20144 are 2, 1259. Prime factorization of 20144 in exponential form is:

20144 = 2⁴ × 1259¹

Step-2: Prime Factorization of 20152

Prime factors of 20152 are 2, 11, 229. Prime factorization of 20152 in exponential form is:

20152 = 2³ × 11¹ × 229¹

Step-3: Factors of 20144

List of positive integer factors of 20144 that divides 20144 without a remainder.

1, 2, 4, 8, 16, 1259, 2518, 5036, 10072

Step-4: Factors of 20152

List of positive integer factors of 20152 that divides 20144 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 229, 458, 916, 1832, 2519, 5038, 10076

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20144 and 20152. The biggest common factor number is the GCF number.
So the greatest common factor 20144 and 20152 is 8.

Also check out the Least Common Multiple of 20144 and 20152