What is the Greatest Common Factor of 20140 and 20147?

Greatest common factor (GCF) of 20140 and 20147 is 1.

GCF(20140,20147) = 1

We will now calculate the prime factors of 20140 and 20147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20140 and 20147.

How to find the GCF of 20140 and 20147?

We will first find the prime factorization of 20140 and 20147. After we will calculate the factors of 20140 and 20147 and find the biggest common factor number .

Step-1: Prime Factorization of 20140

Prime factors of 20140 are 2, 5, 19, 53. Prime factorization of 20140 in exponential form is:

20140 = 2² × 5¹ × 19¹ × 53¹

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 20140

List of positive integer factors of 20140 that divides 20140 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 53, 76, 95, 106, 190, 212, 265, 380, 530, 1007, 1060, 2014, 4028, 5035, 10070

Step-4: Factors of 20147

List of positive integer factors of 20147 that divides 20140 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20140 and 20147. The biggest common factor number is the GCF number.
So the greatest common factor 20140 and 20147 is 1.

Also check out the Least Common Multiple of 20140 and 20147