What is the Greatest Common Factor of 71986 and 71996?

Greatest common factor (GCF) of 71986 and 71996 is 2.

GCF(71986,71996) = 2

We will now calculate the prime factors of 71986 and 71996, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71986 and 71996.

How to find the GCF of 71986 and 71996?

We will first find the prime factorization of 71986 and 71996. After we will calculate the factors of 71986 and 71996 and find the biggest common factor number .

Step-1: Prime Factorization of 71986

Prime factors of 71986 are 2, 35993. Prime factorization of 71986 in exponential form is:

71986 = 2¹ × 35993¹

Step-2: 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-3: Factors of 71986

List of positive integer factors of 71986 that divides 71986 without a remainder.

1, 2, 35993

Step-4: Factors of 71996

List of positive integer factors of 71996 that divides 71986 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71986 and 71996. The biggest common factor number is the GCF number.
So the greatest common factor 71986 and 71996 is 2.

Also check out the Least Common Multiple of 71986 and 71996