What is the Greatest Common Factor of 71792 and 71806?

Greatest common factor (GCF) of 71792 and 71806 is 14.

GCF(71792,71806) = 14

We will now calculate the prime factors of 71792 and 71806, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71792 and 71806.

How to find the GCF of 71792 and 71806?

We will first find the prime factorization of 71792 and 71806. After we will calculate the factors of 71792 and 71806 and find the biggest common factor number .

Step-1: Prime Factorization of 71792

Prime factors of 71792 are 2, 7, 641. Prime factorization of 71792 in exponential form is:

71792 = 2⁴ × 7¹ × 641¹

Step-2: Prime Factorization of 71806

Prime factors of 71806 are 2, 7, 23, 223. Prime factorization of 71806 in exponential form is:

71806 = 2¹ × 7¹ × 23¹ × 223¹

Step-3: Factors of 71792

List of positive integer factors of 71792 that divides 71792 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112, 641, 1282, 2564, 4487, 5128, 8974, 10256, 17948, 35896

Step-4: Factors of 71806

List of positive integer factors of 71806 that divides 71792 without a remainder.

1, 2, 7, 14, 23, 46, 161, 223, 322, 446, 1561, 3122, 5129, 10258, 35903

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71792 and 71806. The biggest common factor number is the GCF number.
So the greatest common factor 71792 and 71806 is 14.

Also check out the Least Common Multiple of 71792 and 71806