What is the Greatest Common Factor of 72142 and 72154?

Greatest common factor (GCF) of 72142 and 72154 is 2.

GCF(72142,72154) = 2

We will now calculate the prime factors of 72142 and 72154, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72142 and 72154.

How to find the GCF of 72142 and 72154?

We will first find the prime factorization of 72142 and 72154. After we will calculate the factors of 72142 and 72154 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 72154

Prime factors of 72154 are 2, 43, 839. Prime factorization of 72154 in exponential form is:

72154 = 2¹ × 43¹ × 839¹

Step-3: Factors of 72142

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

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

Step-4: Factors of 72154

List of positive integer factors of 72154 that divides 72142 without a remainder.

1, 2, 43, 86, 839, 1678, 36077

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72142 and 72154. The biggest common factor number is the GCF number.
So the greatest common factor 72142 and 72154 is 2.

Also check out the Least Common Multiple of 72142 and 72154