What is the Greatest Common Factor of 81731 and 81736?

Greatest common factor (GCF) of 81731 and 81736 is 1.

GCF(81731,81736) = 1

We will now calculate the prime factors of 81731 and 81736, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81731 and 81736.

How to find the GCF of 81731 and 81736?

We will first find the prime factorization of 81731 and 81736. After we will calculate the factors of 81731 and 81736 and find the biggest common factor number .

Step-1: Prime Factorization of 81731

Prime factors of 81731 are 13, 6287. Prime factorization of 81731 in exponential form is:

81731 = 13¹ × 6287¹

Step-2: Prime Factorization of 81736

Prime factors of 81736 are 2, 17, 601. Prime factorization of 81736 in exponential form is:

81736 = 2³ × 17¹ × 601¹

Step-3: Factors of 81731

List of positive integer factors of 81731 that divides 81731 without a remainder.

1, 13, 6287

Step-4: Factors of 81736

List of positive integer factors of 81736 that divides 81731 without a remainder.

1, 2, 4, 8, 17, 34, 68, 136, 601, 1202, 2404, 4808, 10217, 20434, 40868

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81731 and 81736. The biggest common factor number is the GCF number.
So the greatest common factor 81731 and 81736 is 1.

Also check out the Least Common Multiple of 81731 and 81736