What is the Greatest Common Factor of 81634 and 81651?

Greatest common factor (GCF) of 81634 and 81651 is 17.

GCF(81634,81651) = 17

We will now calculate the prime factors of 81634 and 81651, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81634 and 81651.

How to find the GCF of 81634 and 81651?

We will first find the prime factorization of 81634 and 81651. After we will calculate the factors of 81634 and 81651 and find the biggest common factor number .

Step-1: Prime Factorization of 81634

Prime factors of 81634 are 2, 7, 17. Prime factorization of 81634 in exponential form is:

81634 = 2¹ × 7⁴ × 17¹

Step-2: Prime Factorization of 81651

Prime factors of 81651 are 3, 17, 1601. Prime factorization of 81651 in exponential form is:

81651 = 3¹ × 17¹ × 1601¹

Step-3: Factors of 81634

List of positive integer factors of 81634 that divides 81634 without a remainder.

1, 2, 7, 14, 17, 34, 49, 98, 119, 238, 343, 686, 833, 1666, 2401, 4802, 5831, 11662, 40817

Step-4: Factors of 81651

List of positive integer factors of 81651 that divides 81634 without a remainder.

1, 3, 17, 51, 1601, 4803, 27217

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81634 and 81651. The biggest common factor number is the GCF number.
So the greatest common factor 81634 and 81651 is 17.

Also check out the Least Common Multiple of 81634 and 81651