What is the Greatest Common Factor of 72143 and 72148?

Greatest common factor (GCF) of 72143 and 72148 is 1.

GCF(72143,72148) = 1

We will now calculate the prime factors of 72143 and 72148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72143 and 72148.

How to find the GCF of 72143 and 72148?

We will first find the prime factorization of 72143 and 72148. After we will calculate the factors of 72143 and 72148 and find the biggest common factor number .

Step-1: Prime Factorization of 72143

Prime factors of 72143 are 19, 3797. Prime factorization of 72143 in exponential form is:

72143 = 19¹ × 3797¹

Step-2: Prime Factorization of 72148

Prime factors of 72148 are 2, 17, 1061. Prime factorization of 72148 in exponential form is:

72148 = 2² × 17¹ × 1061¹

Step-3: Factors of 72143

List of positive integer factors of 72143 that divides 72143 without a remainder.

1, 19, 3797

Step-4: Factors of 72148

List of positive integer factors of 72148 that divides 72143 without a remainder.

1, 2, 4, 17, 34, 68, 1061, 2122, 4244, 18037, 36074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72143 and 72148. The biggest common factor number is the GCF number.
So the greatest common factor 72143 and 72148 is 1.

Also check out the Least Common Multiple of 72143 and 72148