What is the Greatest Common Factor of 72126 and 72142?

Greatest common factor (GCF) of 72126 and 72142 is 2.

GCF(72126,72142) = 2

We will now calculate the prime factors of 72126 and 72142, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72126 and 72142.

How to find the GCF of 72126 and 72142?

We will first find the prime factorization of 72126 and 72142. After we will calculate the factors of 72126 and 72142 and find the biggest common factor number .

Step-1: Prime Factorization of 72126

Prime factors of 72126 are 2, 3, 4007. Prime factorization of 72126 in exponential form is:

72126 = 2¹ × 3² × 4007¹

Step-2: Prime Factorization of 72142

Prime factors of 72142 are 2, 7, 5153. Prime factorization of 72142 in exponential form is:

72142 = 2¹ × 7¹ × 5153¹

Step-3: Factors of 72126

List of positive integer factors of 72126 that divides 72126 without a remainder.

1, 2, 3, 6, 9, 18, 4007, 8014, 12021, 24042, 36063

Step-4: Factors of 72142

List of positive integer factors of 72142 that divides 72126 without a remainder.

1, 2, 7, 14, 5153, 10306, 36071

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72126 and 72142. The biggest common factor number is the GCF number.
So the greatest common factor 72126 and 72142 is 2.

Also check out the Least Common Multiple of 72126 and 72142