What is the Greatest Common Factor of 20142 and 20147?

Greatest common factor (GCF) of 20142 and 20147 is 1.

GCF(20142,20147) = 1

We will now calculate the prime factors of 20142 and 20147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20142 and 20147.

How to find the GCF of 20142 and 20147?

We will first find the prime factorization of 20142 and 20147. After we will calculate the factors of 20142 and 20147 and find the biggest common factor number .

Step-1: Prime Factorization of 20142

Prime factors of 20142 are 2, 3, 373. Prime factorization of 20142 in exponential form is:

20142 = 2¹ × 3³ × 373¹

Step-2: Prime Factorization of 20147

Prime factors of 20147 are 20147. Prime factorization of 20147 in exponential form is:

20147 = 20147¹

Step-3: Factors of 20142

List of positive integer factors of 20142 that divides 20142 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 373, 746, 1119, 2238, 3357, 6714, 10071

Step-4: Factors of 20147

List of positive integer factors of 20147 that divides 20142 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20142 and 20147. The biggest common factor number is the GCF number.
So the greatest common factor 20142 and 20147 is 1.

Also check out the Least Common Multiple of 20142 and 20147