What is the Greatest Common Factor of 93648 and 93654?

Greatest common factor (GCF) of 93648 and 93654 is 6.

GCF(93648,93654) = 6

We will now calculate the prime factors of 93648 and 93654, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 93648 and 93654.

How to find the GCF of 93648 and 93654?

We will first find the prime factorization of 93648 and 93654. After we will calculate the factors of 93648 and 93654 and find the biggest common factor number .

Step-1: Prime Factorization of 93648

Prime factors of 93648 are 2, 3, 1951. Prime factorization of 93648 in exponential form is:

93648 = 2⁴ × 3¹ × 1951¹

Step-2: Prime Factorization of 93654

Prime factors of 93654 are 2, 3, 11, 43. Prime factorization of 93654 in exponential form is:

93654 = 2¹ × 3² × 11² × 43¹

Step-3: Factors of 93648

List of positive integer factors of 93648 that divides 93648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1951, 3902, 5853, 7804, 11706, 15608, 23412, 31216, 46824

Step-4: Factors of 93654

List of positive integer factors of 93654 that divides 93648 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 33, 43, 66, 86, 99, 121, 129, 198, 242, 258, 363, 387, 473, 726, 774, 946, 1089, 1419, 2178, 2838, 4257, 5203, 8514, 10406, 15609, 31218, 46827

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 93648 and 93654. The biggest common factor number is the GCF number.
So the greatest common factor 93648 and 93654 is 6.

Also check out the Least Common Multiple of 93648 and 93654