What is the Greatest Common Factor of 71876 and 71882?

Greatest common factor (GCF) of 71876 and 71882 is 2.

GCF(71876,71882) = 2

We will now calculate the prime factors of 71876 and 71882, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71876 and 71882.

How to find the GCF of 71876 and 71882?

We will first find the prime factorization of 71876 and 71882. After we will calculate the factors of 71876 and 71882 and find the biggest common factor number .

Step-1: Prime Factorization of 71876

Prime factors of 71876 are 2, 7, 17, 151. Prime factorization of 71876 in exponential form is:

71876 = 2² × 7¹ × 17¹ × 151¹

Step-2: Prime Factorization of 71882

Prime factors of 71882 are 2, 127, 283. Prime factorization of 71882 in exponential form is:

71882 = 2¹ × 127¹ × 283¹

Step-3: Factors of 71876

List of positive integer factors of 71876 that divides 71876 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 151, 238, 302, 476, 604, 1057, 2114, 2567, 4228, 5134, 10268, 17969, 35938

Step-4: Factors of 71882

List of positive integer factors of 71882 that divides 71876 without a remainder.

1, 2, 127, 254, 283, 566, 35941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71876 and 71882. The biggest common factor number is the GCF number.
So the greatest common factor 71876 and 71882 is 2.

Also check out the Least Common Multiple of 71876 and 71882