What is the Greatest Common Factor of 10142 and 10147?

Greatest common factor (GCF) of 10142 and 10147 is 1.

GCF(10142,10147) = 1

We will now calculate the prime factors of 10142 and 10147, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10142 and 10147.

How to find the GCF of 10142 and 10147?

We will first find the prime factorization of 10142 and 10147. After we will calculate the factors of 10142 and 10147 and find the biggest common factor number .

Step-1: Prime Factorization of 10142

Prime factors of 10142 are 2, 11, 461. Prime factorization of 10142 in exponential form is:

10142 = 2¹ × 11¹ × 461¹

Step-2: Prime Factorization of 10147

Prime factors of 10147 are 73, 139. Prime factorization of 10147 in exponential form is:

10147 = 73¹ × 139¹

Step-3: Factors of 10142

List of positive integer factors of 10142 that divides 10142 without a remainder.

1, 2, 11, 22, 461, 922, 5071

Step-4: Factors of 10147

List of positive integer factors of 10147 that divides 10142 without a remainder.

1, 73, 139

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10142 and 10147. The biggest common factor number is the GCF number.
So the greatest common factor 10142 and 10147 is 1.

Also check out the Least Common Multiple of 10142 and 10147