What is the Greatest Common Factor of 81641 and 81648?

Greatest common factor (GCF) of 81641 and 81648 is 7.

GCF(81641,81648) = 7

We will now calculate the prime factors of 81641 and 81648, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 81641 and 81648.

How to find the GCF of 81641 and 81648?

We will first find the prime factorization of 81641 and 81648. After we will calculate the factors of 81641 and 81648 and find the biggest common factor number .

Step-1: Prime Factorization of 81641

Prime factors of 81641 are 7, 107, 109. Prime factorization of 81641 in exponential form is:

81641 = 7¹ × 107¹ × 109¹

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 81641

List of positive integer factors of 81641 that divides 81641 without a remainder.

1, 7, 107, 109, 749, 763, 11663

Step-4: Factors of 81648

List of positive integer factors of 81648 that divides 81641 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 81641 and 81648. The biggest common factor number is the GCF number.
So the greatest common factor 81641 and 81648 is 7.

Also check out the Least Common Multiple of 81641 and 81648