What is the Greatest Common Factor of 71996 and 72014?

Greatest common factor (GCF) of 71996 and 72014 is 2.

GCF(71996,72014) = 2

We will now calculate the prime factors of 71996 and 72014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71996 and 72014.

How to find the GCF of 71996 and 72014?

We will first find the prime factorization of 71996 and 72014. After we will calculate the factors of 71996 and 72014 and find the biggest common factor number .

Step-1: Prime Factorization of 71996

Prime factors of 71996 are 2, 41, 439. Prime factorization of 71996 in exponential form is:

71996 = 2² × 41¹ × 439¹

Step-2: Prime Factorization of 72014

Prime factors of 72014 are 2, 36007. Prime factorization of 72014 in exponential form is:

72014 = 2¹ × 36007¹

Step-3: Factors of 71996

List of positive integer factors of 71996 that divides 71996 without a remainder.

1, 2, 4, 41, 82, 164, 439, 878, 1756, 17999, 35998

Step-4: Factors of 72014

List of positive integer factors of 72014 that divides 71996 without a remainder.

1, 2, 36007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71996 and 72014. The biggest common factor number is the GCF number.
So the greatest common factor 71996 and 72014 is 2.

Also check out the Least Common Multiple of 71996 and 72014