What is the Greatest Common Factor of 71636 and 71654?

Greatest common factor (GCF) of 71636 and 71654 is 2.

GCF(71636,71654) = 2

We will now calculate the prime factors of 71636 and 71654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 71636 and 71654.

How to find the GCF of 71636 and 71654?

We will first find the prime factorization of 71636 and 71654. After we will calculate the factors of 71636 and 71654 and find the biggest common factor number .

Step-1: Prime Factorization of 71636

Prime factors of 71636 are 2, 17909. Prime factorization of 71636 in exponential form is:

71636 = 2² × 17909¹

Step-2: Prime Factorization of 71654

Prime factors of 71654 are 2, 11, 3257. Prime factorization of 71654 in exponential form is:

71654 = 2¹ × 11¹ × 3257¹

Step-3: Factors of 71636

List of positive integer factors of 71636 that divides 71636 without a remainder.

1, 2, 4, 17909, 35818

Step-4: Factors of 71654

List of positive integer factors of 71654 that divides 71636 without a remainder.

1, 2, 11, 22, 3257, 6514, 35827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 71636 and 71654. The biggest common factor number is the GCF number.
So the greatest common factor 71636 and 71654 is 2.

Also check out the Least Common Multiple of 71636 and 71654