What is the Greatest Common Factor of 81718 and 81731?

Greatest common factor (GCF) of 81718 and 81731 is 13.

GCF(81718,81731) = 13

We will now calculate the prime factors of 81718 and 81731, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81718 and 81731.

How to find the GCF of 81718 and 81731?

We will first find the prime factorization of 81718 and 81731. After we will calculate the factors of 81718 and 81731 and find the biggest common factor number .

Step-1: Prime Factorization of 81718

Prime factors of 81718 are 2, 7, 13, 449. Prime factorization of 81718 in exponential form is:

81718 = 2¹ × 7¹ × 13¹ × 449¹

Step-2: Prime Factorization of 81731

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

81731 = 13¹ × 6287¹

Step-3: Factors of 81718

List of positive integer factors of 81718 that divides 81718 without a remainder.

1, 2, 7, 13, 14, 26, 91, 182, 449, 898, 3143, 5837, 6286, 11674, 40859

Step-4: Factors of 81731

List of positive integer factors of 81731 that divides 81718 without a remainder.

1, 13, 6287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81718 and 81731. The biggest common factor number is the GCF number.
So the greatest common factor 81718 and 81731 is 13.

Also check out the Least Common Multiple of 81718 and 81731