What is the Greatest Common Factor of 81634 and 81648?

Greatest common factor (GCF) of 81634 and 81648 is 14.

GCF(81634,81648) = 14

We will now calculate the prime factors of 81634 and 81648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81634 and 81648.

How to find the GCF of 81634 and 81648?

We will first find the prime factorization of 81634 and 81648. After we will calculate the factors of 81634 and 81648 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 81648

Prime factors of 81648 are 2, 3, 7. Prime factorization of 81648 in exponential form is:

81648 = 2⁴ × 3⁶ × 7¹

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 81648

List of positive integer factors of 81648 that divides 81634 without a remainder.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 243, 252, 324, 336, 378, 432, 486, 504, 567, 648, 729, 756, 972, 1008, 1134, 1296, 1458, 1512, 1701, 1944, 2268, 2916, 3024, 3402, 3888, 4536, 5103, 5832, 6804, 9072, 10206, 11664, 13608, 20412, 27216, 40824

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 81634 and 81648. The biggest common factor number is the GCF number.
So the greatest common factor 81634 and 81648 is 14.

Also check out the Least Common Multiple of 81634 and 81648