What is the Greatest Common Factor of 20144 and 20159?

Greatest common factor (GCF) of 20144 and 20159 is 1.

GCF(20144,20159) = 1

We will now calculate the prime factors of 20144 and 20159, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20144 and 20159.

How to find the GCF of 20144 and 20159?

We will first find the prime factorization of 20144 and 20159. After we will calculate the factors of 20144 and 20159 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 20159

Prime factors of 20159 are 19, 1061. Prime factorization of 20159 in exponential form is:

20159 = 19¹ × 1061¹

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 20159

List of positive integer factors of 20159 that divides 20144 without a remainder.

1, 19, 1061

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20144 and 20159. The biggest common factor number is the GCF number.
So the greatest common factor 20144 and 20159 is 1.

Also check out the Least Common Multiple of 20144 and 20159