What is the Greatest Common Factor of 71798 and 71817?

Greatest common factor (GCF) of 71798 and 71817 is 1.

GCF(71798,71817) = 1

We will now calculate the prime factors of 71798 and 71817, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71798 and 71817.

How to find the GCF of 71798 and 71817?

We will first find the prime factorization of 71798 and 71817. After we will calculate the factors of 71798 and 71817 and find the biggest common factor number .

Step-1: Prime Factorization of 71798

Prime factors of 71798 are 2, 35899. Prime factorization of 71798 in exponential form is:

71798 = 2¹ × 35899¹

Step-2: Prime Factorization of 71817

Prime factors of 71817 are 3, 37, 647. Prime factorization of 71817 in exponential form is:

71817 = 3¹ × 37¹ × 647¹

Step-3: Factors of 71798

List of positive integer factors of 71798 that divides 71798 without a remainder.

1, 2, 35899

Step-4: Factors of 71817

List of positive integer factors of 71817 that divides 71798 without a remainder.

1, 3, 37, 111, 647, 1941, 23939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71798 and 71817. The biggest common factor number is the GCF number.
So the greatest common factor 71798 and 71817 is 1.

Also check out the Least Common Multiple of 71798 and 71817