What is the Greatest Common Factor of 72126 and 72131?

Greatest common factor (GCF) of 72126 and 72131 is 1.

GCF(72126,72131) = 1

We will now calculate the prime factors of 72126 and 72131, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72126 and 72131.

How to find the GCF of 72126 and 72131?

We will first find the prime factorization of 72126 and 72131. After we will calculate the factors of 72126 and 72131 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 72131

Prime factors of 72131 are 17, 4243. Prime factorization of 72131 in exponential form is:

72131 = 17¹ × 4243¹

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 72131

List of positive integer factors of 72131 that divides 72126 without a remainder.

1, 17, 4243

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72126 and 72131. The biggest common factor number is the GCF number.
So the greatest common factor 72126 and 72131 is 1.

Also check out the Least Common Multiple of 72126 and 72131