What is the Greatest Common Factor of 71788 and 71798?

Greatest common factor (GCF) of 71788 and 71798 is 2.

GCF(71788,71798) = 2

We will now calculate the prime factors of 71788 and 71798, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71788 and 71798.

How to find the GCF of 71788 and 71798?

We will first find the prime factorization of 71788 and 71798. After we will calculate the factors of 71788 and 71798 and find the biggest common factor number .

Step-1: Prime Factorization of 71788

Prime factors of 71788 are 2, 131, 137. Prime factorization of 71788 in exponential form is:

71788 = 2² × 131¹ × 137¹

Step-2: Prime Factorization of 71798

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

71798 = 2¹ × 35899¹

Step-3: Factors of 71788

List of positive integer factors of 71788 that divides 71788 without a remainder.

1, 2, 4, 131, 137, 262, 274, 524, 548, 17947, 35894

Step-4: Factors of 71798

List of positive integer factors of 71798 that divides 71788 without a remainder.

1, 2, 35899

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71788 and 71798. The biggest common factor number is the GCF number.
So the greatest common factor 71788 and 71798 is 2.

Also check out the Least Common Multiple of 71788 and 71798