What is the Greatest Common Factor of 60138 and 60142?

Greatest common factor (GCF) of 60138 and 60142 is 2.

GCF(60138,60142) = 2

We will now calculate the prime factors of 60138 and 60142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60138 and 60142.

How to find the GCF of 60138 and 60142?

We will first find the prime factorization of 60138 and 60142. After we will calculate the factors of 60138 and 60142 and find the biggest common factor number .

Step-1: Prime Factorization of 60138

Prime factors of 60138 are 2, 3, 13, 257. Prime factorization of 60138 in exponential form is:

60138 = 2¹ × 3² × 13¹ × 257¹

Step-2: Prime Factorization of 60142

Prime factors of 60142 are 2, 30071. Prime factorization of 60142 in exponential form is:

60142 = 2¹ × 30071¹

Step-3: Factors of 60138

List of positive integer factors of 60138 that divides 60138 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234, 257, 514, 771, 1542, 2313, 3341, 4626, 6682, 10023, 20046, 30069

Step-4: Factors of 60142

List of positive integer factors of 60142 that divides 60138 without a remainder.

1, 2, 30071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60138 and 60142. The biggest common factor number is the GCF number.
So the greatest common factor 60138 and 60142 is 2.

Also check out the Least Common Multiple of 60138 and 60142